Algebra Esempi

${(3 - 2 x)}^{4} {(7 x + 2)}^{7}$

Passaggio 1

Usa il teorema binomiale.

$(3^{4} + 4 \cdot 3^{3} (- 2 x) + 6 \cdot 3^{2} {(- 2 x)}^{2} + 4 \cdot 3 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2

Semplifica ciascun termine.

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Passaggio 2.1

Eleva $3$ alla potenza di $4$ .

$(81 + 4 \cdot 3^{3} (- 2 x) + 6 \cdot 3^{2} {(- 2 x)}^{2} + 4 \cdot 3 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.2

Eleva $3$ alla potenza di $3$ .

$(81 + 4 \cdot 27 (- 2 x) + 6 \cdot 3^{2} {(- 2 x)}^{2} + 4 \cdot 3 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.3

Moltiplica $4$ per $27$ .

$(81 + 108 (- 2 x) + 6 \cdot 3^{2} {(- 2 x)}^{2} + 4 \cdot 3 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.4

Moltiplica $- 2$ per $108$ .

$(81 - 216 x + 6 \cdot 3^{2} {(- 2 x)}^{2} + 4 \cdot 3 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.5

Eleva $3$ alla potenza di $2$ .

$(81 - 216 x + 6 \cdot 9 {(- 2 x)}^{2} + 4 \cdot 3 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.6

Moltiplica $6$ per $9$ .

$(81 - 216 x + 54 {(- 2 x)}^{2} + 4 \cdot 3 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.7

Applica la regola del prodotto a $- 2 x$ .

$(81 - 216 x + 54 ({(- 2)}^{2} x^{2}) + 4 \cdot 3 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.8

Eleva $- 2$ alla potenza di $2$ .

$(81 - 216 x + 54 (4 x^{2}) + 4 \cdot 3 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.9

Moltiplica $4$ per $54$ .

$(81 - 216 x + 216 x^{2} + 4 \cdot 3 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.10

Moltiplica $4$ per $3$ .

$(81 - 216 x + 216 x^{2} + 12 {(- 2 x)}^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.11

Applica la regola del prodotto a $- 2 x$ .

$(81 - 216 x + 216 x^{2} + 12 ({(- 2)}^{3} x^{3}) + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.12

Eleva $- 2$ alla potenza di $3$ .

$(81 - 216 x + 216 x^{2} + 12 (- 8 x^{3}) + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.13

Moltiplica $- 8$ per $12$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + {(- 2 x)}^{4}) {(7 x + 2)}^{7}$

Passaggio 2.14

Applica la regola del prodotto a $- 2 x$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + {(- 2)}^{4} x^{4}) {(7 x + 2)}^{7}$

Passaggio 2.15

Eleva $- 2$ alla potenza di $4$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) {(7 x + 2)}^{7}$

Passaggio 3

Usa il teorema binomiale.

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) ({(7 x)}^{7} + 7 {(7 x)}^{6} \cdot 2 + 21 {(7 x)}^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4

Semplifica ciascun termine.

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Passaggio 4.1

Applica la regola del prodotto a $7 x$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (7^{7} x^{7} + 7 {(7 x)}^{6} \cdot 2 + 21 {(7 x)}^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.2

Eleva $7$ alla potenza di $7$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 7 {(7 x)}^{6} \cdot 2 + 21 {(7 x)}^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.3

Applica la regola del prodotto a $7 x$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 7 (7^{6} x^{6}) \cdot 2 + 21 {(7 x)}^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.4

Moltiplica $7$ per $7^{6}$ sommando gli esponenti.

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Passaggio 4.4.1

Sposta $7^{6}$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 7^{6} \cdot 7 x^{6} \cdot 2 + 21 {(7 x)}^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.4.2

Moltiplica $7^{6}$ per $7$ .

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Passaggio 4.4.2.1

Eleva $7$ alla potenza di $1$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 7^{6} \cdot 7^{1} x^{6} \cdot 2 + 21 {(7 x)}^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.4.2.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 7^{6 + 1} x^{6} \cdot 2 + 21 {(7 x)}^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.4.3

Somma $6$ e $1$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 7^{7} x^{6} \cdot 2 + 21 {(7 x)}^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.5

Eleva $7$ alla potenza di $7$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 823543 x^{6} \cdot 2 + 21 {(7 x)}^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.6

Moltiplica $2$ per $823543$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 21 {(7 x)}^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.7

Applica la regola del prodotto a $7 x$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 21 (7^{5} x^{5}) \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.8

Eleva $7$ alla potenza di $5$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 21 (16807 x^{5}) \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.9

Moltiplica $16807$ per $21$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 352947 x^{5} \cdot 2^{2} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.10

Eleva $2$ alla potenza di $2$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 352947 x^{5} \cdot 4 + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.11

Moltiplica $4$ per $352947$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 35 {(7 x)}^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.12

Applica la regola del prodotto a $7 x$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 35 (7^{4} x^{4}) \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.13

Eleva $7$ alla potenza di $4$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 35 (2401 x^{4}) \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.14

Moltiplica $2401$ per $35$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 84035 x^{4} \cdot 2^{3} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.15

Eleva $2$ alla potenza di $3$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 84035 x^{4} \cdot 8 + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.16

Moltiplica $8$ per $84035$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 35 {(7 x)}^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.17

Applica la regola del prodotto a $7 x$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 35 (7^{3} x^{3}) \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.18

Eleva $7$ alla potenza di $3$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 35 (343 x^{3}) \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.19

Moltiplica $343$ per $35$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 12005 x^{3} \cdot 2^{4} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.20

Eleva $2$ alla potenza di $4$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 12005 x^{3} \cdot 16 + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.21

Moltiplica $16$ per $12005$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 21 {(7 x)}^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.22

Applica la regola del prodotto a $7 x$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 21 (7^{2} x^{2}) \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.23

Eleva $7$ alla potenza di $2$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 21 (49 x^{2}) \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.24

Moltiplica $49$ per $21$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 1029 x^{2} \cdot 2^{5} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.25

Eleva $2$ alla potenza di $5$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 1029 x^{2} \cdot 32 + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.26

Moltiplica $32$ per $1029$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 32928 x^{2} + 7 (7 x) \cdot 2^{6} + 2^{7})$

Passaggio 4.27

Moltiplica $7$ per $7$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 32928 x^{2} + 49 x \cdot 2^{6} + 2^{7})$

Passaggio 4.28

Eleva $2$ alla potenza di $6$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 32928 x^{2} + 49 x \cdot 64 + 2^{7})$

Passaggio 4.29

Moltiplica $64$ per $49$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 32928 x^{2} + 3136 x + 2^{7})$

Passaggio 4.30

Eleva $2$ alla potenza di $7$ .

$(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 32928 x^{2} + 3136 x + 128)$

Passaggio 5

Espandi $(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 32928 x^{2} + 3136 x + 128)$ moltiplicando ciascun termine della prima espressione per ciascun termine della seconda espressione.

$81 (823543 x^{7}) + 81 (1647086 x^{6}) + 81 (1411788 x^{5}) + 81 (672280 x^{4}) + 81 (192080 x^{3}) + 81 (32928 x^{2}) + 81 (3136 x) + 81 \cdot 128 - 216 x (823543 x^{7}) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6

Semplifica i termini.

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Passaggio 6.1

Semplifica ciascun termine.

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Passaggio 6.1.1

Moltiplica $823543$ per $81$ .

$66706983 x^{7} + 81 (1647086 x^{6}) + 81 (1411788 x^{5}) + 81 (672280 x^{4}) + 81 (192080 x^{3}) + 81 (32928 x^{2}) + 81 (3136 x) + 81 \cdot 128 - 216 x (823543 x^{7}) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.2

Moltiplica $1647086$ per $81$ .

$66706983 x^{7} + 133413966 x^{6} + 81 (1411788 x^{5}) + 81 (672280 x^{4}) + 81 (192080 x^{3}) + 81 (32928 x^{2}) + 81 (3136 x) + 81 \cdot 128 - 216 x (823543 x^{7}) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.3

Moltiplica $1411788$ per $81$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 81 (672280 x^{4}) + 81 (192080 x^{3}) + 81 (32928 x^{2}) + 81 (3136 x) + 81 \cdot 128 - 216 x (823543 x^{7}) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.4

Moltiplica $672280$ per $81$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 81 (192080 x^{3}) + 81 (32928 x^{2}) + 81 (3136 x) + 81 \cdot 128 - 216 x (823543 x^{7}) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.5

Moltiplica $192080$ per $81$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 81 (32928 x^{2}) + 81 (3136 x) + 81 \cdot 128 - 216 x (823543 x^{7}) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.6

Moltiplica $32928$ per $81$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 81 (3136 x) + 81 \cdot 128 - 216 x (823543 x^{7}) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.7

Moltiplica $3136$ per $81$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 81 \cdot 128 - 216 x (823543 x^{7}) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.8

Moltiplica $81$ per $128$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 216 x (823543 x^{7}) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.9

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 216 \cdot 823543 x \cdot x^{7} - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.10

Moltiplica $x$ per $x^{7}$ sommando gli esponenti.

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Passaggio 6.1.10.1

Sposta $x^{7}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 216 \cdot 823543 (x^{7} x) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.10.2

Moltiplica $x^{7}$ per $x$ .

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Passaggio 6.1.10.2.1

Eleva $x$ alla potenza di $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 216 \cdot 823543 (x^{7} x^{1}) - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.10.2.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 216 \cdot 823543 x^{7 + 1} - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.10.3

Somma $7$ e $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 216 \cdot 823543 x^{8} - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.11

Moltiplica $- 216$ per $823543$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 216 x (1647086 x^{6}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.12

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 216 \cdot 1647086 x \cdot x^{6} - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.13

Moltiplica $x$ per $x^{6}$ sommando gli esponenti.

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Passaggio 6.1.13.1

Sposta $x^{6}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 216 \cdot 1647086 (x^{6} x) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.13.2

Moltiplica $x^{6}$ per $x$ .

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Passaggio 6.1.13.2.1

Eleva $x$ alla potenza di $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 216 \cdot 1647086 (x^{6} x^{1}) - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.13.2.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 216 \cdot 1647086 x^{6 + 1} - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.13.3

Somma $6$ e $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 216 \cdot 1647086 x^{7} - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.14

Moltiplica $- 216$ per $1647086$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 216 x (1411788 x^{5}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.15

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 216 \cdot 1411788 x \cdot x^{5} - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.16

Moltiplica $x$ per $x^{5}$ sommando gli esponenti.

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Passaggio 6.1.16.1

Sposta $x^{5}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 216 \cdot 1411788 (x^{5} x) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.16.2

Moltiplica $x^{5}$ per $x$ .

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Passaggio 6.1.16.2.1

Eleva $x$ alla potenza di $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 216 \cdot 1411788 (x^{5} x^{1}) - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.16.2.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 216 \cdot 1411788 x^{5 + 1} - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.16.3

Somma $5$ e $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 216 \cdot 1411788 x^{6} - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.17

Moltiplica $- 216$ per $1411788$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 216 x (672280 x^{4}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.18

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 216 \cdot 672280 x \cdot x^{4} - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.19

Moltiplica $x$ per $x^{4}$ sommando gli esponenti.

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Passaggio 6.1.19.1

Sposta $x^{4}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 216 \cdot 672280 (x^{4} x) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.19.2

Moltiplica $x^{4}$ per $x$ .

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Passaggio 6.1.19.2.1

Eleva $x$ alla potenza di $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 216 \cdot 672280 (x^{4} x^{1}) - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.19.2.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 216 \cdot 672280 x^{4 + 1} - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.19.3

Somma $4$ e $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 216 \cdot 672280 x^{5} - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.20

Moltiplica $- 216$ per $672280$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 216 x (192080 x^{3}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.21

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 216 \cdot 192080 x \cdot x^{3} - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.22

Moltiplica $x$ per $x^{3}$ sommando gli esponenti.

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Passaggio 6.1.22.1

Sposta $x^{3}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 216 \cdot 192080 (x^{3} x) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.22.2

Moltiplica $x^{3}$ per $x$ .

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Passaggio 6.1.22.2.1

Eleva $x$ alla potenza di $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 216 \cdot 192080 (x^{3} x^{1}) - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.22.2.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 216 \cdot 192080 x^{3 + 1} - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.22.3

Somma $3$ e $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 216 \cdot 192080 x^{4} - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.23

Moltiplica $- 216$ per $192080$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 216 x (32928 x^{2}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.24

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 216 \cdot 32928 x \cdot x^{2} - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.25

Moltiplica $x$ per $x^{2}$ sommando gli esponenti.

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Passaggio 6.1.25.1

Sposta $x^{2}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 216 \cdot 32928 (x^{2} x) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.25.2

Moltiplica $x^{2}$ per $x$ .

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Passaggio 6.1.25.2.1

Eleva $x$ alla potenza di $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 216 \cdot 32928 (x^{2} x^{1}) - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.25.2.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 216 \cdot 32928 x^{2 + 1} - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.25.3

Somma $2$ e $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 216 \cdot 32928 x^{3} - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.26

Moltiplica $- 216$ per $32928$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 216 x (3136 x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.27

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 216 \cdot 3136 x \cdot x - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.28

Moltiplica $x$ per $x$ sommando gli esponenti.

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Passaggio 6.1.28.1

Sposta $x$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 216 \cdot 3136 (x \cdot x) - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.28.2

Moltiplica $x$ per $x$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 216 \cdot 3136 x^{2} - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.29

Moltiplica $- 216$ per $3136$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 216 x \cdot 128 + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.30

Moltiplica $128$ per $- 216$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 216 x^{2} (823543 x^{7}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.31

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 216 \cdot 823543 x^{2} x^{7} + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.32

Moltiplica $x^{2}$ per $x^{7}$ sommando gli esponenti.

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Passaggio 6.1.32.1

Sposta $x^{7}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 216 \cdot 823543 (x^{7} x^{2}) + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.32.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 216 \cdot 823543 x^{7 + 2} + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.32.3

Somma $7$ e $2$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 216 \cdot 823543 x^{9} + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.33

Moltiplica $216$ per $823543$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 216 x^{2} (1647086 x^{6}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.34

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 216 \cdot 1647086 x^{2} x^{6} + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.35

Moltiplica $x^{2}$ per $x^{6}$ sommando gli esponenti.

Tocca per altri passaggi...

Passaggio 6.1.35.1

Sposta $x^{6}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 216 \cdot 1647086 (x^{6} x^{2}) + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.35.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 216 \cdot 1647086 x^{6 + 2} + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.35.3

Somma $6$ e $2$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 216 \cdot 1647086 x^{8} + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.36

Moltiplica $216$ per $1647086$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 216 x^{2} (1411788 x^{5}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.37

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 216 \cdot 1411788 x^{2} x^{5} + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.38

Moltiplica $x^{2}$ per $x^{5}$ sommando gli esponenti.

Tocca per altri passaggi...

Passaggio 6.1.38.1

Sposta $x^{5}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 216 \cdot 1411788 (x^{5} x^{2}) + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.38.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 216 \cdot 1411788 x^{5 + 2} + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.38.3

Somma $5$ e $2$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 216 \cdot 1411788 x^{7} + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.39

Moltiplica $216$ per $1411788$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 216 x^{2} (672280 x^{4}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.40

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 216 \cdot 672280 x^{2} x^{4} + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.41

Moltiplica $x^{2}$ per $x^{4}$ sommando gli esponenti.

Tocca per altri passaggi...

Passaggio 6.1.41.1

Sposta $x^{4}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 216 \cdot 672280 (x^{4} x^{2}) + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.41.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 216 \cdot 672280 x^{4 + 2} + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.41.3

Somma $4$ e $2$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 216 \cdot 672280 x^{6} + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.42

Moltiplica $216$ per $672280$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 216 x^{2} (192080 x^{3}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.43

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 216 \cdot 192080 x^{2} x^{3} + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.44

Moltiplica $x^{2}$ per $x^{3}$ sommando gli esponenti.

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Passaggio 6.1.44.1

Sposta $x^{3}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 216 \cdot 192080 (x^{3} x^{2}) + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.44.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 216 \cdot 192080 x^{3 + 2} + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.44.3

Somma $3$ e $2$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 216 \cdot 192080 x^{5} + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.45

Moltiplica $216$ per $192080$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 216 x^{2} (32928 x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.46

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 216 \cdot 32928 x^{2} x^{2} + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.47

Moltiplica $x^{2}$ per $x^{2}$ sommando gli esponenti.

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Passaggio 6.1.47.1

Sposta $x^{2}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 216 \cdot 32928 (x^{2} x^{2}) + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.47.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 216 \cdot 32928 x^{2 + 2} + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.47.3

Somma $2$ e $2$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 216 \cdot 32928 x^{4} + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.48

Moltiplica $216$ per $32928$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 216 x^{2} (3136 x) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.49

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 216 \cdot 3136 x^{2} x + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.50

Moltiplica $x^{2}$ per $x$ sommando gli esponenti.

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Passaggio 6.1.50.1

Sposta $x$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 216 \cdot 3136 (x \cdot x^{2}) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.50.2

Moltiplica $x$ per $x^{2}$ .

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Passaggio 6.1.50.2.1

Eleva $x$ alla potenza di $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 216 \cdot 3136 (x^{1} x^{2}) + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.50.2.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 216 \cdot 3136 x^{1 + 2} + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.50.3

Somma $1$ e $2$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 216 \cdot 3136 x^{3} + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.51

Moltiplica $216$ per $3136$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 216 x^{2} \cdot 128 - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.52

Moltiplica $128$ per $216$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 96 x^{3} (823543 x^{7}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.53

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 96 \cdot 823543 x^{3} x^{7} - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.54

Moltiplica $x^{3}$ per $x^{7}$ sommando gli esponenti.

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Passaggio 6.1.54.1

Sposta $x^{7}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 96 \cdot 823543 (x^{7} x^{3}) - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.54.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 96 \cdot 823543 x^{7 + 3} - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.54.3

Somma $7$ e $3$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 96 \cdot 823543 x^{10} - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.55

Moltiplica $- 96$ per $823543$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 96 x^{3} (1647086 x^{6}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.56

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 96 \cdot 1647086 x^{3} x^{6} - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.57

Moltiplica $x^{3}$ per $x^{6}$ sommando gli esponenti.

Tocca per altri passaggi...

Passaggio 6.1.57.1

Sposta $x^{6}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 96 \cdot 1647086 (x^{6} x^{3}) - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.57.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 96 \cdot 1647086 x^{6 + 3} - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.57.3

Somma $6$ e $3$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 96 \cdot 1647086 x^{9} - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.58

Moltiplica $- 96$ per $1647086$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 96 x^{3} (1411788 x^{5}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.59

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 96 \cdot 1411788 x^{3} x^{5} - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.60

Moltiplica $x^{3}$ per $x^{5}$ sommando gli esponenti.

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Passaggio 6.1.60.1

Sposta $x^{5}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 96 \cdot 1411788 (x^{5} x^{3}) - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.60.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 96 \cdot 1411788 x^{5 + 3} - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.60.3

Somma $5$ e $3$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 96 \cdot 1411788 x^{8} - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.61

Moltiplica $- 96$ per $1411788$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 96 x^{3} (672280 x^{4}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.62

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 96 \cdot 672280 x^{3} x^{4} - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.63

Moltiplica $x^{3}$ per $x^{4}$ sommando gli esponenti.

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Passaggio 6.1.63.1

Sposta $x^{4}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 96 \cdot 672280 (x^{4} x^{3}) - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.63.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 96 \cdot 672280 x^{4 + 3} - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.63.3

Somma $4$ e $3$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 96 \cdot 672280 x^{7} - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.64

Moltiplica $- 96$ per $672280$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 96 x^{3} (192080 x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.65

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 96 \cdot 192080 x^{3} x^{3} - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.66

Moltiplica $x^{3}$ per $x^{3}$ sommando gli esponenti.

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Passaggio 6.1.66.1

Sposta $x^{3}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 96 \cdot 192080 (x^{3} x^{3}) - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.66.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 96 \cdot 192080 x^{3 + 3} - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.66.3

Somma $3$ e $3$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 96 \cdot 192080 x^{6} - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.67

Moltiplica $- 96$ per $192080$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 96 x^{3} (32928 x^{2}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.68

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 96 \cdot 32928 x^{3} x^{2} - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.69

Moltiplica $x^{3}$ per $x^{2}$ sommando gli esponenti.

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Passaggio 6.1.69.1

Sposta $x^{2}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 96 \cdot 32928 (x^{2} x^{3}) - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.69.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 96 \cdot 32928 x^{2 + 3} - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.69.3

Somma $2$ e $3$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 96 \cdot 32928 x^{5} - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.70

Moltiplica $- 96$ per $32928$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 96 x^{3} (3136 x) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.71

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 96 \cdot 3136 x^{3} x - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.72

Moltiplica $x^{3}$ per $x$ sommando gli esponenti.

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Passaggio 6.1.72.1

Sposta $x$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 96 \cdot 3136 (x \cdot x^{3}) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.72.2

Moltiplica $x$ per $x^{3}$ .

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Passaggio 6.1.72.2.1

Eleva $x$ alla potenza di $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 96 \cdot 3136 (x^{1} x^{3}) - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.72.2.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 96 \cdot 3136 x^{1 + 3} - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.72.3

Somma $1$ e $3$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 96 \cdot 3136 x^{4} - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.73

Moltiplica $- 96$ per $3136$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 96 x^{3} \cdot 128 + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.74

Moltiplica $128$ per $- 96$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 16 x^{4} (823543 x^{7}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.75

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 16 \cdot 823543 x^{4} x^{7} + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.76

Moltiplica $x^{4}$ per $x^{7}$ sommando gli esponenti.

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Passaggio 6.1.76.1

Sposta $x^{7}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 16 \cdot 823543 (x^{7} x^{4}) + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.76.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 16 \cdot 823543 x^{7 + 4} + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.76.3

Somma $7$ e $4$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 16 \cdot 823543 x^{11} + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.77

Moltiplica $16$ per $823543$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 16 x^{4} (1647086 x^{6}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.78

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 16 \cdot 1647086 x^{4} x^{6} + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.79

Moltiplica $x^{4}$ per $x^{6}$ sommando gli esponenti.

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Passaggio 6.1.79.1

Sposta $x^{6}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 16 \cdot 1647086 (x^{6} x^{4}) + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.79.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 16 \cdot 1647086 x^{6 + 4} + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.79.3

Somma $6$ e $4$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 16 \cdot 1647086 x^{10} + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.80

Moltiplica $16$ per $1647086$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 16 x^{4} (1411788 x^{5}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.81

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 16 \cdot 1411788 x^{4} x^{5} + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.82

Moltiplica $x^{4}$ per $x^{5}$ sommando gli esponenti.

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Passaggio 6.1.82.1

Sposta $x^{5}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 16 \cdot 1411788 (x^{5} x^{4}) + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.82.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 16 \cdot 1411788 x^{5 + 4} + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.82.3

Somma $5$ e $4$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 16 \cdot 1411788 x^{9} + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.83

Moltiplica $16$ per $1411788$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 16 x^{4} (672280 x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.84

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 16 \cdot 672280 x^{4} x^{4} + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.85

Moltiplica $x^{4}$ per $x^{4}$ sommando gli esponenti.

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Passaggio 6.1.85.1

Sposta $x^{4}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 16 \cdot 672280 (x^{4} x^{4}) + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.85.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 16 \cdot 672280 x^{4 + 4} + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.85.3

Somma $4$ e $4$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 16 \cdot 672280 x^{8} + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.86

Moltiplica $16$ per $672280$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 16 x^{4} (192080 x^{3}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.87

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 16 \cdot 192080 x^{4} x^{3} + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.88

Moltiplica $x^{4}$ per $x^{3}$ sommando gli esponenti.

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Passaggio 6.1.88.1

Sposta $x^{3}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 16 \cdot 192080 (x^{3} x^{4}) + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.88.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 16 \cdot 192080 x^{3 + 4} + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.88.3

Somma $3$ e $4$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 16 \cdot 192080 x^{7} + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.89

Moltiplica $16$ per $192080$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 16 x^{4} (32928 x^{2}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.90

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 16 \cdot 32928 x^{4} x^{2} + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.91

Moltiplica $x^{4}$ per $x^{2}$ sommando gli esponenti.

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Passaggio 6.1.91.1

Sposta $x^{2}$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 16 \cdot 32928 (x^{2} x^{4}) + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.91.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 16 \cdot 32928 x^{2 + 4} + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.91.3

Somma $2$ e $4$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 16 \cdot 32928 x^{6} + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.92

Moltiplica $16$ per $32928$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 16 x^{4} (3136 x) + 16 x^{4} \cdot 128$

Passaggio 6.1.93

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 16 \cdot 3136 x^{4} x + 16 x^{4} \cdot 128$

Passaggio 6.1.94

Moltiplica $x^{4}$ per $x$ sommando gli esponenti.

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Passaggio 6.1.94.1

Sposta $x$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 16 \cdot 3136 (x \cdot x^{4}) + 16 x^{4} \cdot 128$

Passaggio 6.1.94.2

Moltiplica $x$ per $x^{4}$ .

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Passaggio 6.1.94.2.1

Eleva $x$ alla potenza di $1$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 16 \cdot 3136 (x^{1} x^{4}) + 16 x^{4} \cdot 128$

Passaggio 6.1.94.2.2

Utilizza la regola per la potenza di una potenza $a^{m} a^{n} = a^{m + n}$ per combinare gli esponenti.

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 16 \cdot 3136 x^{1 + 4} + 16 x^{4} \cdot 128$

Passaggio 6.1.94.3

Somma $1$ e $4$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 16 \cdot 3136 x^{5} + 16 x^{4} \cdot 128$

Passaggio 6.1.95

Moltiplica $16$ per $3136$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 50176 x^{5} + 16 x^{4} \cdot 128$

Passaggio 6.1.96

Moltiplica $128$ per $16$ .

$66706983 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 355770576 x^{7} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2

Semplifica aggiungendo i termini.

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Passaggio 6.2.1

Sottrai $355770576 x^{7}$ da $66706983 x^{7}$ .

$- 289063593 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 304946208 x^{7} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.2

Somma $- 289063593 x^{7}$ e $304946208 x^{7}$ .

$15882615 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 64538880 x^{7} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.3

Sottrai $64538880 x^{7}$ da $15882615 x^{7}$ .

$- 48656265 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 3073280 x^{7} + 526848 x^{6} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.4

Somma $- 48656265 x^{7}$ e $3073280 x^{7}$ .

$- 45582985 x^{7} + 133413966 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 304946208 x^{6} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 526848 x^{6} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.5

Sottrai $304946208 x^{6}$ da $133413966 x^{6}$ .

$- 45582985 x^{7} - 171532242 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 145212480 x^{6} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 526848 x^{6} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.6

Somma $- 171532242 x^{6}$ e $145212480 x^{6}$ .

$- 45582985 x^{7} - 26319762 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 18439680 x^{6} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 526848 x^{6} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.7

Sottrai $18439680 x^{6}$ da $- 26319762 x^{6}$ .

$- 45582985 x^{7} - 44759442 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 526848 x^{6} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.8

Somma $- 44759442 x^{6}$ e $526848 x^{6}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 114354828 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 145212480 x^{5} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.9

Sottrai $145212480 x^{5}$ da $114354828 x^{5}$ .

$- 45582985 x^{7} - 44232594 x^{6} - 30857652 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 41489280 x^{5} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.10

Somma $- 30857652 x^{5}$ e $41489280 x^{5}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 10631628 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 3161088 x^{5} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.11

Sottrai $3161088 x^{5}$ da $10631628 x^{5}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7470540 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 50176 x^{5} + 2048 x^{4}$

Passaggio 6.2.12

Somma $7470540 x^{5}$ e $50176 x^{5}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 54454680 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 41489280 x^{4} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 2048 x^{4}$

Passaggio 6.2.13

Sottrai $41489280 x^{4}$ da $54454680 x^{4}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 12965400 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 7112448 x^{4} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 2048 x^{4}$

Passaggio 6.2.14

Somma $12965400 x^{4}$ e $7112448 x^{4}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 20077848 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 301056 x^{4} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 2048 x^{4}$

Passaggio 6.2.15

Sottrai $301056 x^{4}$ da $20077848 x^{4}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19776792 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8} + 2048 x^{4}$

Passaggio 6.2.16

Somma $19776792 x^{4}$ e $2048 x^{4}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 15558480 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 7112448 x^{3} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8}$

Passaggio 6.2.17

Sottrai $7112448 x^{3}$ da $15558480 x^{3}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 8446032 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 677376 x^{3} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8}$

Passaggio 6.2.18

Somma $8446032 x^{3}$ e $677376 x^{3}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9123408 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} - 12288 x^{3} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8}$

Passaggio 6.2.19

Sottrai $12288 x^{3}$ da $9123408 x^{3}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9111120 x^{3} + 2667168 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 677376 x^{2} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8}$

Passaggio 6.2.20

Sottrai $677376 x^{2}$ da $2667168 x^{2}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9111120 x^{3} + 1989792 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 27648 x + 177885288 x^{9} + 355770576 x^{8} + 27648 x^{2} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8}$

Passaggio 6.2.21

Somma $1989792 x^{2}$ e $27648 x^{2}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9111120 x^{3} + 2017440 x^{2} + 254016 x + 10368 - 177885288 x^{8} - 27648 x + 177885288 x^{9} + 355770576 x^{8} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8}$

Passaggio 6.2.22

Sottrai $27648 x$ da $254016 x$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9111120 x^{3} + 2017440 x^{2} + 226368 x + 10368 - 177885288 x^{8} + 177885288 x^{9} + 355770576 x^{8} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8}$

Passaggio 6.2.23

Somma $- 177885288 x^{8}$ e $355770576 x^{8}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9111120 x^{3} + 2017440 x^{2} + 226368 x + 10368 + 177885288 x^{9} + 177885288 x^{8} - 79060128 x^{10} - 158120256 x^{9} - 135531648 x^{8} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8}$

Passaggio 6.2.24

Sottrai $158120256 x^{9}$ da $177885288 x^{9}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9111120 x^{3} + 2017440 x^{2} + 226368 x + 10368 + 19765032 x^{9} + 177885288 x^{8} - 79060128 x^{10} - 135531648 x^{8} + 13176688 x^{11} + 26353376 x^{10} + 22588608 x^{9} + 10756480 x^{8}$

Passaggio 6.2.25

Somma $19765032 x^{9}$ e $22588608 x^{9}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9111120 x^{3} + 2017440 x^{2} + 226368 x + 10368 + 177885288 x^{8} - 79060128 x^{10} - 135531648 x^{8} + 13176688 x^{11} + 26353376 x^{10} + 42353640 x^{9} + 10756480 x^{8}$

Passaggio 6.2.26

Sottrai $135531648 x^{8}$ da $177885288 x^{8}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9111120 x^{3} + 2017440 x^{2} + 226368 x + 10368 - 79060128 x^{10} + 42353640 x^{8} + 13176688 x^{11} + 26353376 x^{10} + 42353640 x^{9} + 10756480 x^{8}$

Passaggio 6.2.27

Somma $- 79060128 x^{10}$ e $26353376 x^{10}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9111120 x^{3} + 2017440 x^{2} + 226368 x + 10368 - 52706752 x^{10} + 42353640 x^{8} + 13176688 x^{11} + 42353640 x^{9} + 10756480 x^{8}$

Passaggio 6.2.28

Somma $42353640 x^{8}$ e $10756480 x^{8}$ .

$- 45582985 x^{7} - 44232594 x^{6} + 7520716 x^{5} + 19778840 x^{4} + 9111120 x^{3} + 2017440 x^{2} + 226368 x + 10368 - 52706752 x^{10} + 13176688 x^{11} + 42353640 x^{9} + 53110120 x^{8}$