Algebra Beispiele

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

Schritt 1

Wende den binomischen Lehrsatz an.

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

Schritt 2

Vereinfache jeden Term.

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Schritt 2.1

Potenziere $3$ mit $4$ .

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

Schritt 2.2

Potenziere $3$ mit $3$ .

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

Schritt 2.3

Mutltipliziere $4$ mit $27$ .

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

Schritt 2.4

Mutltipliziere $- 2$ mit $108$ .

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

Schritt 2.5

Potenziere $3$ mit $2$ .

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

Schritt 2.6

Mutltipliziere $6$ mit $9$ .

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

Schritt 2.7

Wende die Produktregel auf $- 2 x$ an.

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

Schritt 2.8

Potenziere $- 2$ mit $2$ .

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

Schritt 2.9

Mutltipliziere $4$ mit $54$ .

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

Schritt 2.10

Mutltipliziere $4$ mit $3$ .

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

Schritt 2.11

Wende die Produktregel auf $- 2 x$ an.

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

Schritt 2.12

Potenziere $- 2$ mit $3$ .

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

Schritt 2.13

Mutltipliziere $- 8$ mit $12$ .

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

Schritt 2.14

Wende die Produktregel auf $- 2 x$ an.

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

Schritt 2.15

Potenziere $- 2$ mit $4$ .

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

Schritt 3

Wende den binomischen Lehrsatz an.

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

Schritt 4

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Schritt 4.1

Wende die Produktregel auf $7 x$ an.

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

Schritt 4.2

Potenziere $7$ mit $7$ .

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

Schritt 4.3

Wende die Produktregel auf $7 x$ an.

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

Schritt 4.4

Multipliziere $7$ mit $7^{6}$ durch Addieren der Exponenten.

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Schritt 4.4.1

Bewege $7^{6}$ .

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

Schritt 4.4.2

Mutltipliziere $7^{6}$ mit $7$ .

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Schritt 4.4.2.1

Potenziere $7$ mit $1$ .

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

Schritt 4.4.2.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 4.4.3

Addiere $6$ und $1$ .

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

Schritt 4.5

Potenziere $7$ mit $7$ .

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

Schritt 4.6

Mutltipliziere $2$ mit $823543$ .

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

Schritt 4.7

Wende die Produktregel auf $7 x$ an.

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

Schritt 4.8

Potenziere $7$ mit $5$ .

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

Schritt 4.9

Mutltipliziere $16807$ mit $21$ .

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

Schritt 4.10

Potenziere $2$ mit $2$ .

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

Schritt 4.11

Mutltipliziere $4$ mit $352947$ .

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

Schritt 4.12

Wende die Produktregel auf $7 x$ an.

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

Schritt 4.13

Potenziere $7$ mit $4$ .

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

Schritt 4.14

Mutltipliziere $2401$ mit $35$ .

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

Schritt 4.15

Potenziere $2$ mit $3$ .

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

Schritt 4.16

Mutltipliziere $8$ mit $84035$ .

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

Schritt 4.17

Wende die Produktregel auf $7 x$ an.

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

Schritt 4.18

Potenziere $7$ mit $3$ .

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

Schritt 4.19

Mutltipliziere $343$ mit $35$ .

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

Schritt 4.20

Potenziere $2$ mit $4$ .

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

Schritt 4.21

Mutltipliziere $16$ mit $12005$ .

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

Schritt 4.22

Wende die Produktregel auf $7 x$ an.

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

Schritt 4.23

Potenziere $7$ mit $2$ .

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

Schritt 4.24

Mutltipliziere $49$ mit $21$ .

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

Schritt 4.25

Potenziere $2$ mit $5$ .

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

Schritt 4.26

Mutltipliziere $32$ mit $1029$ .

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

Schritt 4.27

Mutltipliziere $7$ mit $7$ .

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

Schritt 4.28

Potenziere $2$ mit $6$ .

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

Schritt 4.29

Mutltipliziere $64$ mit $49$ .

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

Schritt 4.30

Potenziere $2$ mit $7$ .

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

Schritt 5

Multipliziere $(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 32928 x^{2} + 3136 x + 128)$ aus durch Multiplizieren jedes Terms des ersten Ausdrucks mit jedem Term des zweiten Ausdrucks.

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

Schritt 6

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Schritt 6.1

Vereinfache jeden Term.

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Schritt 6.1.1

Mutltipliziere $823543$ mit $81$ .

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

Schritt 6.1.2

Mutltipliziere $1647086$ mit $81$ .

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

Schritt 6.1.3

Mutltipliziere $1411788$ mit $81$ .

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

Schritt 6.1.4

Mutltipliziere $672280$ mit $81$ .

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

Schritt 6.1.5

Mutltipliziere $192080$ mit $81$ .

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

Schritt 6.1.6

Mutltipliziere $32928$ mit $81$ .

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

Schritt 6.1.7

Mutltipliziere $3136$ mit $81$ .

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

Schritt 6.1.8

Mutltipliziere $81$ mit $128$ .

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

Schritt 6.1.9

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.10

Multipliziere $x$ mit $x^{7}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.10.1

Bewege $x^{7}$ .

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

Schritt 6.1.10.2

Mutltipliziere $x^{7}$ mit $x$ .

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.10.2.1

Potenziere $x$ mit $1$ .

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

Schritt 6.1.10.2.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.10.3

Addiere $7$ und $1$ .

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

Schritt 6.1.11

Mutltipliziere $- 216$ mit $823543$ .

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

Schritt 6.1.12

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.13

Multipliziere $x$ mit $x^{6}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.13.1

Bewege $x^{6}$ .

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

Schritt 6.1.13.2

Mutltipliziere $x^{6}$ mit $x$ .

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.13.2.1

Potenziere $x$ mit $1$ .

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

Schritt 6.1.13.2.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.13.3

Addiere $6$ und $1$ .

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

Schritt 6.1.14

Mutltipliziere $- 216$ mit $1647086$ .

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

Schritt 6.1.15

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.16

Multipliziere $x$ mit $x^{5}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.16.1

Bewege $x^{5}$ .

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

Schritt 6.1.16.2

Mutltipliziere $x^{5}$ mit $x$ .

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.16.2.1

Potenziere $x$ mit $1$ .

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

Schritt 6.1.16.2.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.16.3

Addiere $5$ und $1$ .

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

Schritt 6.1.17

Mutltipliziere $- 216$ mit $1411788$ .

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

Schritt 6.1.18

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.19

Multipliziere $x$ mit $x^{4}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.19.1

Bewege $x^{4}$ .

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

Schritt 6.1.19.2

Mutltipliziere $x^{4}$ mit $x$ .

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.19.2.1

Potenziere $x$ mit $1$ .

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

Schritt 6.1.19.2.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.19.3

Addiere $4$ und $1$ .

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

Schritt 6.1.20

Mutltipliziere $- 216$ mit $672280$ .

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

Schritt 6.1.21

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.22

Multipliziere $x$ mit $x^{3}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.22.1

Bewege $x^{3}$ .

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

Schritt 6.1.22.2

Mutltipliziere $x^{3}$ mit $x$ .

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.22.2.1

Potenziere $x$ mit $1$ .

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

Schritt 6.1.22.2.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.22.3

Addiere $3$ und $1$ .

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

Schritt 6.1.23

Mutltipliziere $- 216$ mit $192080$ .

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

Schritt 6.1.24

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.25

Multipliziere $x$ mit $x^{2}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.25.1

Bewege $x^{2}$ .

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

Schritt 6.1.25.2

Mutltipliziere $x^{2}$ mit $x$ .

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.25.2.1

Potenziere $x$ mit $1$ .

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

Schritt 6.1.25.2.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.25.3

Addiere $2$ und $1$ .

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

Schritt 6.1.26

Mutltipliziere $- 216$ mit $32928$ .

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

Schritt 6.1.27

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.28

Multipliziere $x$ mit $x$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.28.1

Bewege $x$ .

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

Schritt 6.1.28.2

Mutltipliziere $x$ mit $x$ .

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

Schritt 6.1.29

Mutltipliziere $- 216$ mit $3136$ .

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

Schritt 6.1.30

Mutltipliziere $128$ mit $- 216$ .

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

Schritt 6.1.31

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.32

Multipliziere $x^{2}$ mit $x^{7}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.32.1

Bewege $x^{7}$ .

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

Schritt 6.1.32.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.32.3

Addiere $7$ und $2$ .

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

Schritt 6.1.33

Mutltipliziere $216$ mit $823543$ .

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

Schritt 6.1.34

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.35

Multipliziere $x^{2}$ mit $x^{6}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.35.1

Bewege $x^{6}$ .

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

Schritt 6.1.35.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.35.3

Addiere $6$ und $2$ .

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

Schritt 6.1.36

Mutltipliziere $216$ mit $1647086$ .

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

Schritt 6.1.37

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.38

Multipliziere $x^{2}$ mit $x^{5}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.38.1

Bewege $x^{5}$ .

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

Schritt 6.1.38.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.38.3

Addiere $5$ und $2$ .

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

Schritt 6.1.39

Mutltipliziere $216$ mit $1411788$ .

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

Schritt 6.1.40

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.41

Multipliziere $x^{2}$ mit $x^{4}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.41.1

Bewege $x^{4}$ .

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

Schritt 6.1.41.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.41.3

Addiere $4$ und $2$ .

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

Schritt 6.1.42

Mutltipliziere $216$ mit $672280$ .

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

Schritt 6.1.43

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.44

Multipliziere $x^{2}$ mit $x^{3}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.44.1

Bewege $x^{3}$ .

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

Schritt 6.1.44.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.44.3

Addiere $3$ und $2$ .

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

Schritt 6.1.45

Mutltipliziere $216$ mit $192080$ .

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

Schritt 6.1.46

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.47

Multipliziere $x^{2}$ mit $x^{2}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.47.1

Bewege $x^{2}$ .

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

Schritt 6.1.47.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.47.3

Addiere $2$ und $2$ .

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

Schritt 6.1.48

Mutltipliziere $216$ mit $32928$ .

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

Schritt 6.1.49

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.50

Multipliziere $x^{2}$ mit $x$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.50.1

Bewege $x$ .

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

Schritt 6.1.50.2

Mutltipliziere $x$ mit $x^{2}$ .

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.50.2.1

Potenziere $x$ mit $1$ .

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

Schritt 6.1.50.2.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.50.3

Addiere $1$ und $2$ .

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

Schritt 6.1.51

Mutltipliziere $216$ mit $3136$ .

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

Schritt 6.1.52

Mutltipliziere $128$ mit $216$ .

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

Schritt 6.1.53

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.54

Multipliziere $x^{3}$ mit $x^{7}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.54.1

Bewege $x^{7}$ .

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

Schritt 6.1.54.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.54.3

Addiere $7$ und $3$ .

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

Schritt 6.1.55

Mutltipliziere $- 96$ mit $823543$ .

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

Schritt 6.1.56

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.57

Multipliziere $x^{3}$ mit $x^{6}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.57.1

Bewege $x^{6}$ .

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

Schritt 6.1.57.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.57.3

Addiere $6$ und $3$ .

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

Schritt 6.1.58

Mutltipliziere $- 96$ mit $1647086$ .

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

Schritt 6.1.59

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.60

Multipliziere $x^{3}$ mit $x^{5}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.60.1

Bewege $x^{5}$ .

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

Schritt 6.1.60.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.60.3

Addiere $5$ und $3$ .

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

Schritt 6.1.61

Mutltipliziere $- 96$ mit $1411788$ .

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

Schritt 6.1.62

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.63

Multipliziere $x^{3}$ mit $x^{4}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.63.1

Bewege $x^{4}$ .

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

Schritt 6.1.63.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.63.3

Addiere $4$ und $3$ .

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

Schritt 6.1.64

Mutltipliziere $- 96$ mit $672280$ .

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

Schritt 6.1.65

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.66

Multipliziere $x^{3}$ mit $x^{3}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.66.1

Bewege $x^{3}$ .

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

Schritt 6.1.66.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.66.3

Addiere $3$ und $3$ .

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

Schritt 6.1.67

Mutltipliziere $- 96$ mit $192080$ .

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

Schritt 6.1.68

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.69

Multipliziere $x^{3}$ mit $x^{2}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.69.1

Bewege $x^{2}$ .

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

Schritt 6.1.69.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.69.3

Addiere $2$ und $3$ .

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

Schritt 6.1.70

Mutltipliziere $- 96$ mit $32928$ .

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

Schritt 6.1.71

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.72

Multipliziere $x^{3}$ mit $x$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.72.1

Bewege $x$ .

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

Schritt 6.1.72.2

Mutltipliziere $x$ mit $x^{3}$ .

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.72.2.1

Potenziere $x$ mit $1$ .

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

Schritt 6.1.72.2.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.72.3

Addiere $1$ und $3$ .

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

Schritt 6.1.73

Mutltipliziere $- 96$ mit $3136$ .

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

Schritt 6.1.74

Mutltipliziere $128$ mit $- 96$ .

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

Schritt 6.1.75

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.76

Multipliziere $x^{4}$ mit $x^{7}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.76.1

Bewege $x^{7}$ .

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

Schritt 6.1.76.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.76.3

Addiere $7$ und $4$ .

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

Schritt 6.1.77

Mutltipliziere $16$ mit $823543$ .

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

Schritt 6.1.78

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.79

Multipliziere $x^{4}$ mit $x^{6}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.79.1

Bewege $x^{6}$ .

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

Schritt 6.1.79.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.79.3

Addiere $6$ und $4$ .

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

Schritt 6.1.80

Mutltipliziere $16$ mit $1647086$ .

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

Schritt 6.1.81

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.82

Multipliziere $x^{4}$ mit $x^{5}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.82.1

Bewege $x^{5}$ .

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

Schritt 6.1.82.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.82.3

Addiere $5$ und $4$ .

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

Schritt 6.1.83

Mutltipliziere $16$ mit $1411788$ .

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

Schritt 6.1.84

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.85

Multipliziere $x^{4}$ mit $x^{4}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.85.1

Bewege $x^{4}$ .

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

Schritt 6.1.85.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.85.3

Addiere $4$ und $4$ .

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

Schritt 6.1.86

Mutltipliziere $16$ mit $672280$ .

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

Schritt 6.1.87

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.88

Multipliziere $x^{4}$ mit $x^{3}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.88.1

Bewege $x^{3}$ .

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

Schritt 6.1.88.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.88.3

Addiere $3$ und $4$ .

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

Schritt 6.1.89

Mutltipliziere $16$ mit $192080$ .

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

Schritt 6.1.90

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.91

Multipliziere $x^{4}$ mit $x^{2}$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.91.1

Bewege $x^{2}$ .

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

Schritt 6.1.91.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.91.3

Addiere $2$ und $4$ .

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

Schritt 6.1.92

Mutltipliziere $16$ mit $32928$ .

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

Schritt 6.1.93

Schreibe neu unter Anwendung des Kommutativgesetzes der Multiplikation.

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

Schritt 6.1.94

Multipliziere $x^{4}$ mit $x$ durch Addieren der Exponenten.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.94.1

Bewege $x$ .

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

Schritt 6.1.94.2

Mutltipliziere $x$ mit $x^{4}$ .

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1.94.2.1

Potenziere $x$ mit $1$ .

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

Schritt 6.1.94.2.2

Wende die Exponentenregel $a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

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

Schritt 6.1.94.3

Addiere $1$ und $4$ .

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

Schritt 6.1.95

Mutltipliziere $16$ mit $3136$ .

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

Schritt 6.1.96

Mutltipliziere $128$ mit $16$ .

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

Schritt 6.2

Vereinfache durch Addieren von Termen.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.2.1

Subtrahiere $355770576 x^{7}$ von $66706983 x^{7}$ .

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

Schritt 6.2.2

Addiere $- 289063593 x^{7}$ und $304946208 x^{7}$ .

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

Schritt 6.2.3

Subtrahiere $64538880 x^{7}$ von $15882615 x^{7}$ .

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

Schritt 6.2.4

Addiere $- 48656265 x^{7}$ und $3073280 x^{7}$ .

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

Schritt 6.2.5

Subtrahiere $304946208 x^{6}$ von $133413966 x^{6}$ .

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

Schritt 6.2.6

Addiere $- 171532242 x^{6}$ und $145212480 x^{6}$ .

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

Schritt 6.2.7

Subtrahiere $18439680 x^{6}$ von $- 26319762 x^{6}$ .

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

Schritt 6.2.8

Addiere $- 44759442 x^{6}$ und $526848 x^{6}$ .

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

Schritt 6.2.9

Subtrahiere $145212480 x^{5}$ von $114354828 x^{5}$ .

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

Schritt 6.2.10

Addiere $- 30857652 x^{5}$ und $41489280 x^{5}$ .

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

Schritt 6.2.11

Subtrahiere $3161088 x^{5}$ von $10631628 x^{5}$ .

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

Schritt 6.2.12

Addiere $7470540 x^{5}$ und $50176 x^{5}$ .

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

Schritt 6.2.13

Subtrahiere $41489280 x^{4}$ von $54454680 x^{4}$ .

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

Schritt 6.2.14

Addiere $12965400 x^{4}$ und $7112448 x^{4}$ .

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

Schritt 6.2.15

Subtrahiere $301056 x^{4}$ von $20077848 x^{4}$ .

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

Schritt 6.2.16

Addiere $19776792 x^{4}$ und $2048 x^{4}$ .

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

Schritt 6.2.17

Subtrahiere $7112448 x^{3}$ von $15558480 x^{3}$ .

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

Schritt 6.2.18

Addiere $8446032 x^{3}$ und $677376 x^{3}$ .

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

Schritt 6.2.19

Subtrahiere $12288 x^{3}$ von $9123408 x^{3}$ .

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

Schritt 6.2.20

Subtrahiere $677376 x^{2}$ von $2667168 x^{2}$ .

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

Schritt 6.2.21

Addiere $1989792 x^{2}$ und $27648 x^{2}$ .

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

Schritt 6.2.22

Subtrahiere $27648 x$ von $254016 x$ .

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

Schritt 6.2.23

Addiere $- 177885288 x^{8}$ und $355770576 x^{8}$ .

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

Schritt 6.2.24

Subtrahiere $158120256 x^{9}$ von $177885288 x^{9}$ .

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

Schritt 6.2.25

Addiere $19765032 x^{9}$ und $22588608 x^{9}$ .

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

Schritt 6.2.26

Subtrahiere $135531648 x^{8}$ von $177885288 x^{8}$ .

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

Schritt 6.2.27

Addiere $- 79060128 x^{10}$ und $26353376 x^{10}$ .

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

Schritt 6.2.28

Addiere $42353640 x^{8}$ und $10756480 x^{8}$ .

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