Algebra Esempi

$4 {(15 - 3 x)}^{3} {(x + 9)}^{8}$

Passaggio 1

Semplifica il polinomio, quindi riordinalo da sinistra a destra iniziando dal termine di grado maggiore.

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Passaggio 1.1

Usa il teorema binomiale.

$4 (15^{3} + 3 \cdot 15^{2} (- 3 x) + 3 \cdot 15 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

Passaggio 1.2

Semplifica i termini.

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Passaggio 1.2.1

Semplifica ciascun termine.

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Passaggio 1.2.1.1

Eleva $15$ alla potenza di $3$ .

$4 (3375 + 3 \cdot 15^{2} (- 3 x) + 3 \cdot 15 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

Passaggio 1.2.1.2

Eleva $15$ alla potenza di $2$ .

$4 (3375 + 3 \cdot 225 (- 3 x) + 3 \cdot 15 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

Passaggio 1.2.1.3

Moltiplica $3$ per $225$ .

$4 (3375 + 675 (- 3 x) + 3 \cdot 15 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

Passaggio 1.2.1.4

Moltiplica $- 3$ per $675$ .

$4 (3375 - 2025 x + 3 \cdot 15 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

Passaggio 1.2.1.5

Moltiplica $3$ per $15$ .

$4 (3375 - 2025 x + 45 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

Passaggio 1.2.1.6

Applica la regola del prodotto a $- 3 x$ .

$4 (3375 - 2025 x + 45 ({(- 3)}^{2} x^{2}) + {(- 3 x)}^{3}) {(x + 9)}^{8}$

Passaggio 1.2.1.7

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

$4 (3375 - 2025 x + 45 (9 x^{2}) + {(- 3 x)}^{3}) {(x + 9)}^{8}$

Passaggio 1.2.1.8

Moltiplica $9$ per $45$ .

$4 (3375 - 2025 x + 405 x^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

Passaggio 1.2.1.9

Applica la regola del prodotto a $- 3 x$ .

$4 (3375 - 2025 x + 405 x^{2} + {(- 3)}^{3} x^{3}) {(x + 9)}^{8}$

Passaggio 1.2.1.10

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

$4 (3375 - 2025 x + 405 x^{2} - 27 x^{3}) {(x + 9)}^{8}$

Passaggio 1.2.2

Applica la proprietà distributiva.

$(4 \cdot 3375 + 4 (- 2025 x) + 4 (405 x^{2}) + 4 (- 27 x^{3})) {(x + 9)}^{8}$

Passaggio 1.3

Semplifica.

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Passaggio 1.3.1

Moltiplica $4$ per $3375$ .

$(13500 + 4 (- 2025 x) + 4 (405 x^{2}) + 4 (- 27 x^{3})) {(x + 9)}^{8}$

Passaggio 1.3.2

Moltiplica $- 2025$ per $4$ .

$(13500 - 8100 x + 4 (405 x^{2}) + 4 (- 27 x^{3})) {(x + 9)}^{8}$

Passaggio 1.3.3

Moltiplica $405$ per $4$ .

$(13500 - 8100 x + 1620 x^{2} + 4 (- 27 x^{3})) {(x + 9)}^{8}$

Passaggio 1.3.4

Moltiplica $- 27$ per $4$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) {(x + 9)}^{8}$

Passaggio 1.4

Usa il teorema binomiale.

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 8 x^{7} \cdot 9 + 28 x^{6} \cdot 9^{2} + 56 x^{5} \cdot 9^{3} + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5

Semplifica ciascun termine.

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Passaggio 1.5.1

Moltiplica $9$ per $8$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 28 x^{6} \cdot 9^{2} + 56 x^{5} \cdot 9^{3} + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.2

Eleva $9$ alla potenza di $2$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 28 x^{6} \cdot 81 + 56 x^{5} \cdot 9^{3} + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.3

Moltiplica $81$ per $28$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 56 x^{5} \cdot 9^{3} + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.4

Eleva $9$ alla potenza di $3$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 56 x^{5} \cdot 729 + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.5

Moltiplica $729$ per $56$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.6

Eleva $9$ alla potenza di $4$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 70 x^{4} \cdot 6561 + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.7

Moltiplica $6561$ per $70$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.8

Eleva $9$ alla potenza di $5$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 56 x^{3} \cdot 59049 + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.9

Moltiplica $59049$ per $56$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.10

Eleva $9$ alla potenza di $6$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 28 x^{2} \cdot 531441 + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.11

Moltiplica $531441$ per $28$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 8 x \cdot 9^{7} + 9^{8})$

Passaggio 1.5.12

Eleva $9$ alla potenza di $7$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 8 x \cdot 4782969 + 9^{8})$

Passaggio 1.5.13

Moltiplica $4782969$ per $8$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 38263752 x + 9^{8})$

Passaggio 1.5.14

Eleva $9$ alla potenza di $8$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 38263752 x + 43046721)$

Passaggio 1.6

Espandi $(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 38263752 x + 43046721)$ moltiplicando ciascun termine della prima espressione per ciascun termine della seconda espressione.

$13500 x^{8} + 13500 (72 x^{7}) + 13500 (2268 x^{6}) + 13500 (40824 x^{5}) + 13500 (459270 x^{4}) + 13500 (3306744 x^{3}) + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7

Semplifica i termini.

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Passaggio 1.7.1

Semplifica ciascun termine.

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Passaggio 1.7.1.1

Moltiplica $72$ per $13500$ .

$13500 x^{8} + 972000 x^{7} + 13500 (2268 x^{6}) + 13500 (40824 x^{5}) + 13500 (459270 x^{4}) + 13500 (3306744 x^{3}) + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.2

Moltiplica $2268$ per $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 13500 (40824 x^{5}) + 13500 (459270 x^{4}) + 13500 (3306744 x^{3}) + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.3

Moltiplica $40824$ per $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 13500 (459270 x^{4}) + 13500 (3306744 x^{3}) + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.4

Moltiplica $459270$ per $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 13500 (3306744 x^{3}) + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.5

Moltiplica $3306744$ per $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.6

Moltiplica $14880348$ per $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.7

Moltiplica $38263752$ per $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.8

Moltiplica $13500$ per $43046721$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.9

Moltiplica $x$ per $x^{8}$ sommando gli esponenti.

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Passaggio 1.7.1.9.1

Sposta $x^{8}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 (x^{8} x) - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.9.2

Moltiplica $x^{8}$ per $x$ .

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Passaggio 1.7.1.9.2.1

Eleva $x$ alla potenza di $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 (x^{8} x^{1}) - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.9.2.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{8 + 1} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.9.3

Somma $8$ e $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.10

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 \cdot 72 x \cdot x^{7} - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.11

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

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Passaggio 1.7.1.11.1

Sposta $x^{7}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 \cdot 72 (x^{7} x) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.11.2

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

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Passaggio 1.7.1.11.2.1

Eleva $x$ alla potenza di $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 \cdot 72 (x^{7} x^{1}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.11.2.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 \cdot 72 x^{7 + 1} - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.11.3

Somma $7$ e $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 \cdot 72 x^{8} - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.12

Moltiplica $- 8100$ per $72$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.13

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 \cdot 2268 x \cdot x^{6} - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.14

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

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Passaggio 1.7.1.14.1

Sposta $x^{6}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 \cdot 2268 (x^{6} x) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.14.2

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

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Passaggio 1.7.1.14.2.1

Eleva $x$ alla potenza di $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 \cdot 2268 (x^{6} x^{1}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.14.2.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 \cdot 2268 x^{6 + 1} - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.14.3

Somma $6$ e $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 \cdot 2268 x^{7} - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.15

Moltiplica $- 8100$ per $2268$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.16

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 \cdot 40824 x \cdot x^{5} - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.17

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

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Passaggio 1.7.1.17.1

Sposta $x^{5}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 \cdot 40824 (x^{5} x) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.17.2

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

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Passaggio 1.7.1.17.2.1

Eleva $x$ alla potenza di $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 \cdot 40824 (x^{5} x^{1}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.17.2.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 \cdot 40824 x^{5 + 1} - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.17.3

Somma $5$ e $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 \cdot 40824 x^{6} - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.18

Moltiplica $- 8100$ per $40824$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.19

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 \cdot 459270 x \cdot x^{4} - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.20

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

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Passaggio 1.7.1.20.1

Sposta $x^{4}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 \cdot 459270 (x^{4} x) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.20.2

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

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Passaggio 1.7.1.20.2.1

Eleva $x$ alla potenza di $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 \cdot 459270 (x^{4} x^{1}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.20.2.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 \cdot 459270 x^{4 + 1} - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.20.3

Somma $4$ e $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 \cdot 459270 x^{5} - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.21

Moltiplica $- 8100$ per $459270$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.22

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 \cdot 3306744 x \cdot x^{3} - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.23

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

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Passaggio 1.7.1.23.1

Sposta $x^{3}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 \cdot 3306744 (x^{3} x) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.23.2

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

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Passaggio 1.7.1.23.2.1

Eleva $x$ alla potenza di $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 \cdot 3306744 (x^{3} x^{1}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.23.2.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 \cdot 3306744 x^{3 + 1} - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.23.3

Somma $3$ e $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 \cdot 3306744 x^{4} - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.24

Moltiplica $- 8100$ per $3306744$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.25

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 \cdot 14880348 x \cdot x^{2} - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.26

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

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Passaggio 1.7.1.26.1

Sposta $x^{2}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 \cdot 14880348 (x^{2} x) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.26.2

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

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Passaggio 1.7.1.26.2.1

Eleva $x$ alla potenza di $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 \cdot 14880348 (x^{2} x^{1}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.26.2.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 \cdot 14880348 x^{2 + 1} - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.26.3

Somma $2$ e $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 \cdot 14880348 x^{3} - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.27

Moltiplica $- 8100$ per $14880348$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.28

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 8100 \cdot 38263752 x \cdot x - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.29

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

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Passaggio 1.7.1.29.1

Sposta $x$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 8100 \cdot 38263752 (x \cdot x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.29.2

Moltiplica $x$ per $x$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 8100 \cdot 38263752 x^{2} - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.30

Moltiplica $- 8100$ per $38263752$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.31

Moltiplica $43046721$ per $- 8100$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.32

Moltiplica $x^{2}$ per $x^{8}$ sommando gli esponenti.

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Passaggio 1.7.1.32.1

Sposta $x^{8}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 (x^{8} x^{2}) + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.32.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{8 + 2} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.32.3

Somma $8$ e $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.33

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 1620 \cdot 72 x^{2} x^{7} + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.34

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

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Passaggio 1.7.1.34.1

Sposta $x^{7}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 1620 \cdot 72 (x^{7} x^{2}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.34.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 1620 \cdot 72 x^{7 + 2} + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.34.3

Somma $7$ e $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 1620 \cdot 72 x^{9} + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.35

Moltiplica $1620$ per $72$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.36

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 1620 \cdot 2268 x^{2} x^{6} + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.37

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

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Passaggio 1.7.1.37.1

Sposta $x^{6}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 1620 \cdot 2268 (x^{6} x^{2}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.37.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 1620 \cdot 2268 x^{6 + 2} + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.37.3

Somma $6$ e $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 1620 \cdot 2268 x^{8} + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.38

Moltiplica $1620$ per $2268$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.39

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 1620 \cdot 40824 x^{2} x^{5} + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.40

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

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Passaggio 1.7.1.40.1

Sposta $x^{5}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 1620 \cdot 40824 (x^{5} x^{2}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.40.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 1620 \cdot 40824 x^{5 + 2} + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.40.3

Somma $5$ e $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 1620 \cdot 40824 x^{7} + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.41

Moltiplica $1620$ per $40824$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.42

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 1620 \cdot 459270 x^{2} x^{4} + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.43

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

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Passaggio 1.7.1.43.1

Sposta $x^{4}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 1620 \cdot 459270 (x^{4} x^{2}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.43.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 1620 \cdot 459270 x^{4 + 2} + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.43.3

Somma $4$ e $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 1620 \cdot 459270 x^{6} + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.44

Moltiplica $1620$ per $459270$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.45

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 1620 \cdot 3306744 x^{2} x^{3} + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.46

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

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Passaggio 1.7.1.46.1

Sposta $x^{3}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 1620 \cdot 3306744 (x^{3} x^{2}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.46.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 1620 \cdot 3306744 x^{3 + 2} + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.46.3

Somma $3$ e $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 1620 \cdot 3306744 x^{5} + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.47

Moltiplica $1620$ per $3306744$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.48

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 1620 \cdot 14880348 x^{2} x^{2} + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.49

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

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Passaggio 1.7.1.49.1

Sposta $x^{2}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 1620 \cdot 14880348 (x^{2} x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.49.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 1620 \cdot 14880348 x^{2 + 2} + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.49.3

Somma $2$ e $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 1620 \cdot 14880348 x^{4} + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.50

Moltiplica $1620$ per $14880348$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.51

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 \cdot 38263752 x^{2} x + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.52

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

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Passaggio 1.7.1.52.1

Sposta $x$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 \cdot 38263752 (x \cdot x^{2}) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.52.2

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

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Passaggio 1.7.1.52.2.1

Eleva $x$ alla potenza di $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 \cdot 38263752 (x^{1} x^{2}) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.52.2.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 \cdot 38263752 x^{1 + 2} + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.52.3

Somma $1$ e $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 \cdot 38263752 x^{3} + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.53

Moltiplica $1620$ per $38263752$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.54

Moltiplica $43046721$ per $1620$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.55

Moltiplica $x^{3}$ per $x^{8}$ sommando gli esponenti.

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Passaggio 1.7.1.55.1

Sposta $x^{8}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 (x^{8} x^{3}) - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.55.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{8 + 3} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.55.3

Somma $8$ e $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.56

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 108 \cdot 72 x^{3} x^{7} - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.57

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

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Passaggio 1.7.1.57.1

Sposta $x^{7}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 108 \cdot 72 (x^{7} x^{3}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.57.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 108 \cdot 72 x^{7 + 3} - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.57.3

Somma $7$ e $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 108 \cdot 72 x^{10} - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.58

Moltiplica $- 108$ per $72$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.59

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 108 \cdot 2268 x^{3} x^{6} - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.60

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

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Passaggio 1.7.1.60.1

Sposta $x^{6}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 108 \cdot 2268 (x^{6} x^{3}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.60.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 108 \cdot 2268 x^{6 + 3} - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.60.3

Somma $6$ e $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 108 \cdot 2268 x^{9} - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.61

Moltiplica $- 108$ per $2268$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.62

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 108 \cdot 40824 x^{3} x^{5} - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.63

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

Tocca per altri passaggi...

Passaggio 1.7.1.63.1

Sposta $x^{5}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 108 \cdot 40824 (x^{5} x^{3}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.63.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 108 \cdot 40824 x^{5 + 3} - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.63.3

Somma $5$ e $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 108 \cdot 40824 x^{8} - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.64

Moltiplica $- 108$ per $40824$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.65

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 108 \cdot 459270 x^{3} x^{4} - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.66

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

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Passaggio 1.7.1.66.1

Sposta $x^{4}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 108 \cdot 459270 (x^{4} x^{3}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.66.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 108 \cdot 459270 x^{4 + 3} - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.66.3

Somma $4$ e $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 108 \cdot 459270 x^{7} - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.67

Moltiplica $- 108$ per $459270$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.68

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 108 \cdot 3306744 x^{3} x^{3} - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.69

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

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Passaggio 1.7.1.69.1

Sposta $x^{3}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 108 \cdot 3306744 (x^{3} x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.69.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 108 \cdot 3306744 x^{3 + 3} - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.69.3

Somma $3$ e $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 108 \cdot 3306744 x^{6} - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.70

Moltiplica $- 108$ per $3306744$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.71

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 108 \cdot 14880348 x^{3} x^{2} - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.72

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

Tocca per altri passaggi...

Passaggio 1.7.1.72.1

Sposta $x^{2}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 108 \cdot 14880348 (x^{2} x^{3}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.72.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 108 \cdot 14880348 x^{2 + 3} - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.72.3

Somma $2$ e $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 108 \cdot 14880348 x^{5} - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.73

Moltiplica $- 108$ per $14880348$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.74

Riscrivi utilizzando la proprietà commutativa della moltiplicazione.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 \cdot 38263752 x^{3} x - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.75

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

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Passaggio 1.7.1.75.1

Sposta $x$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 \cdot 38263752 (x \cdot x^{3}) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.75.2

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

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Passaggio 1.7.1.75.2.1

Eleva $x$ alla potenza di $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 \cdot 38263752 (x^{1} x^{3}) - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.75.2.2

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

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 \cdot 38263752 x^{1 + 3} - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.75.3

Somma $1$ e $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 \cdot 38263752 x^{4} - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.76

Moltiplica $- 108$ per $38263752$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 108 x^{3} \cdot 43046721$

Passaggio 1.7.1.77

Moltiplica $43046721$ per $- 108$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2

Semplifica aggiungendo i termini.

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Passaggio 1.7.2.1

Sottrai $583200 x^{8}$ da $13500 x^{8}$ .

$- 569700 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.2

Somma $- 569700 x^{8}$ e $3674160 x^{8}$ .

$3104460 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.3

Sottrai $4408992 x^{8}$ da $3104460 x^{8}$ .

$- 1304532 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.4

Sottrai $18370800 x^{7}$ da $972000 x^{7}$ .

$- 1304532 x^{8} - 17398800 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.5

Somma $- 17398800 x^{7}$ e $66134880 x^{7}$ .

$- 1304532 x^{8} + 48736080 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.6

Sottrai $49601160 x^{7}$ da $48736080 x^{7}$ .

$- 1304532 x^{8} - 865080 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.7

Sottrai $330674400 x^{6}$ da $30618000 x^{6}$ .

$- 1304532 x^{8} - 865080 x^{7} - 300056400 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.8

Somma $- 300056400 x^{6}$ e $744017400 x^{6}$ .

$- 1304532 x^{8} - 865080 x^{7} + 443961000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.9

Sottrai $357128352 x^{6}$ da $443961000 x^{6}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.10

Sottrai $3720087000 x^{5}$ da $551124000 x^{5}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} - 3168963000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.11

Somma $- 3168963000 x^{5}$ e $5356925280 x^{5}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 2187962280 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.12

Sottrai $1607077584 x^{5}$ da $2187962280 x^{5}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.13

Sottrai $26784626400 x^{4}$ da $6200145000 x^{4}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 20584481400 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.14

Somma $- 20584481400 x^{4}$ e $24106163760 x^{4}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} + 3521682360 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4132485216 x^{4} - 4649045868 x^{3}$

Passaggio 1.7.2.15

Sottrai $4132485216 x^{4}$ da $3521682360 x^{4}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4649045868 x^{3}$

Passaggio 1.7.2.16

Sottrai $120530818800 x^{3}$ da $44641044000 x^{3}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 75889774800 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4649045868 x^{3}$

Passaggio 1.7.2.17

Somma $- 75889774800 x^{3}$ e $61987278240 x^{3}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 13902496560 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4649045868 x^{3}$

Passaggio 1.7.2.18

Sottrai $4649045868 x^{3}$ da $- 13902496560 x^{3}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9}$

Passaggio 1.7.2.19

Sottrai $309936391200 x^{2}$ da $200884698000 x^{2}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 109051693200 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9}$

Passaggio 1.7.2.20

Somma $- 109051693200 x^{2}$ e $69735688020 x^{2}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 348678440100 x + 1620 x^{10} + 116640 x^{9} - 108 x^{11} - 7776 x^{10} - 244944 x^{9}$

Passaggio 1.7.2.21

Sottrai $348678440100 x$ da $516560652000 x$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500 - 8100 x^{9} + 1620 x^{10} + 116640 x^{9} - 108 x^{11} - 7776 x^{10} - 244944 x^{9}$

Passaggio 1.7.2.22

Somma $- 8100 x^{9}$ e $116640 x^{9}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500 + 1620 x^{10} + 108540 x^{9} - 108 x^{11} - 7776 x^{10} - 244944 x^{9}$

Passaggio 1.7.2.23

Sottrai $7776 x^{10}$ da $1620 x^{10}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500 - 6156 x^{10} + 108540 x^{9} - 108 x^{11} - 244944 x^{9}$

Passaggio 1.7.2.24

Sottrai $244944 x^{9}$ da $108540 x^{9}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500 - 6156 x^{10} - 108 x^{11} - 136404 x^{9}$

Passaggio 1.7.2.25

Semplifica l'espressione.

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Passaggio 1.7.2.25.1

Sposta $581130733500$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x - 6156 x^{10} - 108 x^{11} - 136404 x^{9} + 581130733500$

Passaggio 1.7.2.25.2

Sposta $167882211900 x$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} + 167882211900 x + 581130733500$

Passaggio 1.7.2.25.3

Sposta $- 39316005180 x^{2}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} - 39316005180 x^{2} + 167882211900 x + 581130733500$

Passaggio 1.7.2.25.4

Sposta $- 18551542428 x^{3}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

Passaggio 1.7.2.25.5

Sposta $- 610802856 x^{4}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

Passaggio 1.7.2.25.6

Sposta $580884696 x^{5}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

Passaggio 1.7.2.25.7

Sposta $86832648 x^{6}$ .

$- 1304532 x^{8} - 865080 x^{7} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

Passaggio 1.7.2.25.8

Sposta $- 865080 x^{7}$ .

$- 1304532 x^{8} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

Passaggio 1.7.2.25.9

Sposta $- 1304532 x^{8}$ .

$- 6156 x^{10} - 108 x^{11} - 136404 x^{9} - 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

Passaggio 1.7.2.25.10

Riordina $- 6156 x^{10}$ e $- 108 x^{11}$ .

$- 108 x^{11} - 6156 x^{10} - 136404 x^{9} - 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

Passaggio 2

Il grado di un polinomio è il grado maggiore dei suoi termini.

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Passaggio 2.1

Identifica gli esponenti sulle variabili in ogni termine e sommali per trovare il grado di ogni termine.

$- 108 x^{11} \to 11$

$- 6156 x^{10} \to 10$

$- 136404 x^{9} \to 9$

$- 1304532 x^{8} \to 8$

$- 865080 x^{7} \to 7$

$86832648 x^{6} \to 6$

$580884696 x^{5} \to 5$

$- 610802856 x^{4} \to 4$

$- 18551542428 x^{3} \to 3$

$- 39316005180 x^{2} \to 2$

$167882211900 x \to 1$

$581130733500 \to 0$

Passaggio 2.2

L'esponente maggiore è il grado del polinomio.

$11$

Passaggio 3

Il termine con l'esponente maggiore in un polinomio è il termine con il grado più alto.

$- 108 x^{11}$

Passaggio 4

Il coefficiente direttivo di un polinomio è il coefficiente del termine con l'esponente maggiore.

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Passaggio 4.1

Il termine con l'esponente maggiore in un polinomio è il termine con il grado più alto.

$- 108 x^{11}$

Passaggio 4.2

Il coefficiente direttivo in un polinomio è il coefficiente del termine con l'esponente maggiore.

$- 108$

Passaggio 5

Elenca i risultati.

Grado del polinomio: $11$

Termine con l'esponente maggiore: $- 108 x^{11}$

Coefficiente direttivo: $- 108$