代数示例

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

解题步骤 1

化简多项式，并按照从最高次项从左到右重新排列。

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解题步骤 1.1

使用二项式定理。

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

解题步骤 1.2

化简项。

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解题步骤 1.2.1

化简每一项。

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解题步骤 1.2.1.1

对 $15$ 进行 $3$ 次方运算。

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

解题步骤 1.2.1.2

对 $15$ 进行 $2$ 次方运算。

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

解题步骤 1.2.1.3

将 $3$ 乘以 $225$ 。

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

解题步骤 1.2.1.4

将 $- 3$ 乘以 $675$ 。

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

解题步骤 1.2.1.5

将 $3$ 乘以 $15$ 。

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

解题步骤 1.2.1.6

对 $- 3 x$ 运用乘积法则。

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

解题步骤 1.2.1.7

对 $- 3$ 进行 $2$ 次方运算。

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

解题步骤 1.2.1.8

将 $9$ 乘以 $45$ 。

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

解题步骤 1.2.1.9

对 $- 3 x$ 运用乘积法则。

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

解题步骤 1.2.1.10

对 $- 3$ 进行 $3$ 次方运算。

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

解题步骤 1.2.2

运用分配律。

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

解题步骤 1.3

化简。

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解题步骤 1.3.1

将 $4$ 乘以 $3375$ 。

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

解题步骤 1.3.2

将 $- 2025$ 乘以 $4$ 。

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

解题步骤 1.3.3

将 $405$ 乘以 $4$ 。

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

解题步骤 1.3.4

将 $- 27$ 乘以 $4$ 。

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

解题步骤 1.4

使用二项式定理。

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

解题步骤 1.5

化简每一项。

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解题步骤 1.5.1

将 $9$ 乘以 $8$ 。

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

解题步骤 1.5.2

对 $9$ 进行 $2$ 次方运算。

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

解题步骤 1.5.3

将 $81$ 乘以 $28$ 。

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

解题步骤 1.5.4

对 $9$ 进行 $3$ 次方运算。

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

解题步骤 1.5.5

将 $729$ 乘以 $56$ 。

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

解题步骤 1.5.6

对 $9$ 进行 $4$ 次方运算。

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

解题步骤 1.5.7

将 $6561$ 乘以 $70$ 。

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

解题步骤 1.5.8

对 $9$ 进行 $5$ 次方运算。

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

解题步骤 1.5.9

将 $59049$ 乘以 $56$ 。

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

解题步骤 1.5.10

对 $9$ 进行 $6$ 次方运算。

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

解题步骤 1.5.11

将 $531441$ 乘以 $28$ 。

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

解题步骤 1.5.12

对 $9$ 进行 $7$ 次方运算。

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

解题步骤 1.5.13

将 $4782969$ 乘以 $8$ 。

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

解题步骤 1.5.14

对 $9$ 进行 $8$ 次方运算。

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

解题步骤 1.6

将第一个表达式中的每一项与第二个表达式中的每一项相乘来展开 $(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 38263752 x + 43046721)$ 。

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

解题步骤 1.7

化简项。

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解题步骤 1.7.1

化简每一项。

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解题步骤 1.7.1.1

将 $72$ 乘以 $13500$ 。

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

解题步骤 1.7.1.2

将 $2268$ 乘以 $13500$ 。

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

解题步骤 1.7.1.3

将 $40824$ 乘以 $13500$ 。

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

解题步骤 1.7.1.4

将 $459270$ 乘以 $13500$ 。

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

解题步骤 1.7.1.5

将 $3306744$ 乘以 $13500$ 。

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

解题步骤 1.7.1.6

将 $14880348$ 乘以 $13500$ 。

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

解题步骤 1.7.1.7

将 $38263752$ 乘以 $13500$ 。

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

解题步骤 1.7.1.8

将 $13500$ 乘以 $43046721$ 。

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

解题步骤 1.7.1.9

通过指数相加将 $x$ 乘以 $x^{8}$ 。

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解题步骤 1.7.1.9.1

移动 $x^{8}$ 。

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

解题步骤 1.7.1.9.2

将 $x^{8}$ 乘以 $x$ 。

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解题步骤 1.7.1.9.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 1.7.1.9.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.9.3

将 $8$ 和 $1$ 相加。

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

解题步骤 1.7.1.10

使用乘法的交换性质重写。

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

解题步骤 1.7.1.11

通过指数相加将 $x$ 乘以 $x^{7}$ 。

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解题步骤 1.7.1.11.1

移动 $x^{7}$ 。

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

解题步骤 1.7.1.11.2

将 $x^{7}$ 乘以 $x$ 。

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解题步骤 1.7.1.11.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 1.7.1.11.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.11.3

将 $7$ 和 $1$ 相加。

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

解题步骤 1.7.1.12

将 $- 8100$ 乘以 $72$ 。

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

解题步骤 1.7.1.13

使用乘法的交换性质重写。

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

解题步骤 1.7.1.14

通过指数相加将 $x$ 乘以 $x^{6}$ 。

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解题步骤 1.7.1.14.1

移动 $x^{6}$ 。

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

解题步骤 1.7.1.14.2

将 $x^{6}$ 乘以 $x$ 。

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解题步骤 1.7.1.14.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 1.7.1.14.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.14.3

将 $6$ 和 $1$ 相加。

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

解题步骤 1.7.1.15

将 $- 8100$ 乘以 $2268$ 。

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

解题步骤 1.7.1.16

使用乘法的交换性质重写。

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

解题步骤 1.7.1.17

通过指数相加将 $x$ 乘以 $x^{5}$ 。

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解题步骤 1.7.1.17.1

移动 $x^{5}$ 。

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

解题步骤 1.7.1.17.2

将 $x^{5}$ 乘以 $x$ 。

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解题步骤 1.7.1.17.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 1.7.1.17.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.17.3

将 $5$ 和 $1$ 相加。

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

解题步骤 1.7.1.18

将 $- 8100$ 乘以 $40824$ 。

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

解题步骤 1.7.1.19

使用乘法的交换性质重写。

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

解题步骤 1.7.1.20

通过指数相加将 $x$ 乘以 $x^{4}$ 。

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解题步骤 1.7.1.20.1

移动 $x^{4}$ 。

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

解题步骤 1.7.1.20.2

将 $x^{4}$ 乘以 $x$ 。

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解题步骤 1.7.1.20.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 1.7.1.20.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.20.3

将 $4$ 和 $1$ 相加。

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

解题步骤 1.7.1.21

将 $- 8100$ 乘以 $459270$ 。

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

解题步骤 1.7.1.22

使用乘法的交换性质重写。

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

解题步骤 1.7.1.23

通过指数相加将 $x$ 乘以 $x^{3}$ 。

点击获取更多步骤...

解题步骤 1.7.1.23.1

移动 $x^{3}$ 。

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

解题步骤 1.7.1.23.2

将 $x^{3}$ 乘以 $x$ 。

点击获取更多步骤...

解题步骤 1.7.1.23.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 1.7.1.23.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.23.3

将 $3$ 和 $1$ 相加。

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

解题步骤 1.7.1.24

将 $- 8100$ 乘以 $3306744$ 。

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

解题步骤 1.7.1.25

使用乘法的交换性质重写。

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

解题步骤 1.7.1.26

通过指数相加将 $x$ 乘以 $x^{2}$ 。

点击获取更多步骤...

解题步骤 1.7.1.26.1

移动 $x^{2}$ 。

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

解题步骤 1.7.1.26.2

将 $x^{2}$ 乘以 $x$ 。

点击获取更多步骤...

解题步骤 1.7.1.26.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 1.7.1.26.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.26.3

将 $2$ 和 $1$ 相加。

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

解题步骤 1.7.1.27

将 $- 8100$ 乘以 $14880348$ 。

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

解题步骤 1.7.1.28

使用乘法的交换性质重写。

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

解题步骤 1.7.1.29

通过指数相加将 $x$ 乘以 $x$ 。

点击获取更多步骤...

解题步骤 1.7.1.29.1

移动 $x$ 。

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

解题步骤 1.7.1.29.2

将 $x$ 乘以 $x$ 。

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

解题步骤 1.7.1.30

将 $- 8100$ 乘以 $38263752$ 。

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

解题步骤 1.7.1.31

将 $43046721$ 乘以 $- 8100$ 。

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

解题步骤 1.7.1.32

通过指数相加将 $x^{2}$ 乘以 $x^{8}$ 。

点击获取更多步骤...

解题步骤 1.7.1.32.1

移动 $x^{8}$ 。

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

解题步骤 1.7.1.32.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.32.3

将 $8$ 和 $2$ 相加。

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

解题步骤 1.7.1.33

使用乘法的交换性质重写。

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

解题步骤 1.7.1.34

通过指数相加将 $x^{2}$ 乘以 $x^{7}$ 。

点击获取更多步骤...

解题步骤 1.7.1.34.1

移动 $x^{7}$ 。

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

解题步骤 1.7.1.34.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.34.3

将 $7$ 和 $2$ 相加。

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

解题步骤 1.7.1.35

将 $1620$ 乘以 $72$ 。

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

解题步骤 1.7.1.36

使用乘法的交换性质重写。

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

解题步骤 1.7.1.37

通过指数相加将 $x^{2}$ 乘以 $x^{6}$ 。

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解题步骤 1.7.1.37.1

移动 $x^{6}$ 。

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

解题步骤 1.7.1.37.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.37.3

将 $6$ 和 $2$ 相加。

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

解题步骤 1.7.1.38

将 $1620$ 乘以 $2268$ 。

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

解题步骤 1.7.1.39

使用乘法的交换性质重写。

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

解题步骤 1.7.1.40

通过指数相加将 $x^{2}$ 乘以 $x^{5}$ 。

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解题步骤 1.7.1.40.1

移动 $x^{5}$ 。

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

解题步骤 1.7.1.40.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.40.3

将 $5$ 和 $2$ 相加。

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

解题步骤 1.7.1.41

将 $1620$ 乘以 $40824$ 。

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

解题步骤 1.7.1.42

使用乘法的交换性质重写。

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

解题步骤 1.7.1.43

通过指数相加将 $x^{2}$ 乘以 $x^{4}$ 。

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解题步骤 1.7.1.43.1

移动 $x^{4}$ 。

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

解题步骤 1.7.1.43.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.43.3

将 $4$ 和 $2$ 相加。

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

解题步骤 1.7.1.44

将 $1620$ 乘以 $459270$ 。

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

解题步骤 1.7.1.45

使用乘法的交换性质重写。

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

解题步骤 1.7.1.46

通过指数相加将 $x^{2}$ 乘以 $x^{3}$ 。

点击获取更多步骤...

解题步骤 1.7.1.46.1

移动 $x^{3}$ 。

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

解题步骤 1.7.1.46.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.46.3

将 $3$ 和 $2$ 相加。

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

解题步骤 1.7.1.47

将 $1620$ 乘以 $3306744$ 。

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

解题步骤 1.7.1.48

使用乘法的交换性质重写。

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

解题步骤 1.7.1.49

通过指数相加将 $x^{2}$ 乘以 $x^{2}$ 。

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解题步骤 1.7.1.49.1

移动 $x^{2}$ 。

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

解题步骤 1.7.1.49.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.49.3

将 $2$ 和 $2$ 相加。

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

解题步骤 1.7.1.50

将 $1620$ 乘以 $14880348$ 。

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

解题步骤 1.7.1.51

使用乘法的交换性质重写。

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

解题步骤 1.7.1.52

通过指数相加将 $x^{2}$ 乘以 $x$ 。

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解题步骤 1.7.1.52.1

移动 $x$ 。

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

解题步骤 1.7.1.52.2

将 $x$ 乘以 $x^{2}$ 。

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解题步骤 1.7.1.52.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 1.7.1.52.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.52.3

将 $1$ 和 $2$ 相加。

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

解题步骤 1.7.1.53

将 $1620$ 乘以 $38263752$ 。

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

解题步骤 1.7.1.54

将 $43046721$ 乘以 $1620$ 。

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

解题步骤 1.7.1.55

通过指数相加将 $x^{3}$ 乘以 $x^{8}$ 。

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解题步骤 1.7.1.55.1

移动 $x^{8}$ 。

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

解题步骤 1.7.1.55.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.55.3

将 $8$ 和 $3$ 相加。

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

解题步骤 1.7.1.56

使用乘法的交换性质重写。

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

解题步骤 1.7.1.57

通过指数相加将 $x^{3}$ 乘以 $x^{7}$ 。

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解题步骤 1.7.1.57.1

移动 $x^{7}$ 。

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

解题步骤 1.7.1.57.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.57.3

将 $7$ 和 $3$ 相加。

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

解题步骤 1.7.1.58

将 $- 108$ 乘以 $72$ 。

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

解题步骤 1.7.1.59

使用乘法的交换性质重写。

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

解题步骤 1.7.1.60

通过指数相加将 $x^{3}$ 乘以 $x^{6}$ 。

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解题步骤 1.7.1.60.1

移动 $x^{6}$ 。

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

解题步骤 1.7.1.60.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.60.3

将 $6$ 和 $3$ 相加。

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

解题步骤 1.7.1.61

将 $- 108$ 乘以 $2268$ 。

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

解题步骤 1.7.1.62

使用乘法的交换性质重写。

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

解题步骤 1.7.1.63

通过指数相加将 $x^{3}$ 乘以 $x^{5}$ 。

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解题步骤 1.7.1.63.1

移动 $x^{5}$ 。

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

解题步骤 1.7.1.63.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.63.3

将 $5$ 和 $3$ 相加。

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

解题步骤 1.7.1.64

将 $- 108$ 乘以 $40824$ 。

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

解题步骤 1.7.1.65

使用乘法的交换性质重写。

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

解题步骤 1.7.1.66

通过指数相加将 $x^{3}$ 乘以 $x^{4}$ 。

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解题步骤 1.7.1.66.1

移动 $x^{4}$ 。

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

解题步骤 1.7.1.66.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.66.3

将 $4$ 和 $3$ 相加。

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

解题步骤 1.7.1.67

将 $- 108$ 乘以 $459270$ 。

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

解题步骤 1.7.1.68

使用乘法的交换性质重写。

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

解题步骤 1.7.1.69

通过指数相加将 $x^{3}$ 乘以 $x^{3}$ 。

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解题步骤 1.7.1.69.1

移动 $x^{3}$ 。

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

解题步骤 1.7.1.69.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.69.3

将 $3$ 和 $3$ 相加。

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

解题步骤 1.7.1.70

将 $- 108$ 乘以 $3306744$ 。

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

解题步骤 1.7.1.71

使用乘法的交换性质重写。

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

解题步骤 1.7.1.72

通过指数相加将 $x^{3}$ 乘以 $x^{2}$ 。

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解题步骤 1.7.1.72.1

移动 $x^{2}$ 。

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

解题步骤 1.7.1.72.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.72.3

将 $2$ 和 $3$ 相加。

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

解题步骤 1.7.1.73

将 $- 108$ 乘以 $14880348$ 。

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

解题步骤 1.7.1.74

使用乘法的交换性质重写。

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

解题步骤 1.7.1.75

通过指数相加将 $x^{3}$ 乘以 $x$ 。

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解题步骤 1.7.1.75.1

移动 $x$ 。

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

解题步骤 1.7.1.75.2

将 $x$ 乘以 $x^{3}$ 。

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解题步骤 1.7.1.75.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 1.7.1.75.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 1.7.1.75.3

将 $1$ 和 $3$ 相加。

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

解题步骤 1.7.1.76

将 $- 108$ 乘以 $38263752$ 。

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

解题步骤 1.7.1.77

将 $43046721$ 乘以 $- 108$ 。

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

解题步骤 1.7.2

通过加上各项进行化简。

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解题步骤 1.7.2.1

从 $13500 x^{8}$ 中减去 $583200 x^{8}$ 。

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

解题步骤 1.7.2.2

将 $- 569700 x^{8}$ 和 $3674160 x^{8}$ 相加。

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

解题步骤 1.7.2.3

从 $3104460 x^{8}$ 中减去 $4408992 x^{8}$ 。

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

解题步骤 1.7.2.4

从 $972000 x^{7}$ 中减去 $18370800 x^{7}$ 。

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

解题步骤 1.7.2.5

将 $- 17398800 x^{7}$ 和 $66134880 x^{7}$ 相加。

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

解题步骤 1.7.2.6

从 $48736080 x^{7}$ 中减去 $49601160 x^{7}$ 。

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

解题步骤 1.7.2.7

从 $30618000 x^{6}$ 中减去 $330674400 x^{6}$ 。

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

解题步骤 1.7.2.8

将 $- 300056400 x^{6}$ 和 $744017400 x^{6}$ 相加。

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

解题步骤 1.7.2.9

从 $443961000 x^{6}$ 中减去 $357128352 x^{6}$ 。

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

解题步骤 1.7.2.10

从 $551124000 x^{5}$ 中减去 $3720087000 x^{5}$ 。

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

解题步骤 1.7.2.11

将 $- 3168963000 x^{5}$ 和 $5356925280 x^{5}$ 相加。

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

解题步骤 1.7.2.12

从 $2187962280 x^{5}$ 中减去 $1607077584 x^{5}$ 。

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

解题步骤 1.7.2.13

从 $6200145000 x^{4}$ 中减去 $26784626400 x^{4}$ 。

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

解题步骤 1.7.2.14

将 $- 20584481400 x^{4}$ 和 $24106163760 x^{4}$ 相加。

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

解题步骤 1.7.2.15

从 $3521682360 x^{4}$ 中减去 $4132485216 x^{4}$ 。

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

解题步骤 1.7.2.16

从 $44641044000 x^{3}$ 中减去 $120530818800 x^{3}$ 。

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

解题步骤 1.7.2.17

将 $- 75889774800 x^{3}$ 和 $61987278240 x^{3}$ 相加。

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

解题步骤 1.7.2.18

从 $- 13902496560 x^{3}$ 中减去 $4649045868 x^{3}$ 。

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

解题步骤 1.7.2.19

从 $200884698000 x^{2}$ 中减去 $309936391200 x^{2}$ 。

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

解题步骤 1.7.2.20

将 $- 109051693200 x^{2}$ 和 $69735688020 x^{2}$ 相加。

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

解题步骤 1.7.2.21

从 $516560652000 x$ 中减去 $348678440100 x$ 。

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

解题步骤 1.7.2.22

将 $- 8100 x^{9}$ 和 $116640 x^{9}$ 相加。

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

解题步骤 1.7.2.23

从 $1620 x^{10}$ 中减去 $7776 x^{10}$ 。

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

解题步骤 1.7.2.24

从 $108540 x^{9}$ 中减去 $244944 x^{9}$ 。

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

解题步骤 1.7.2.25

化简表达式。

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解题步骤 1.7.2.25.1

移动 $581130733500$ 。

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

解题步骤 1.7.2.25.2

移动 $167882211900 x$ 。

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

解题步骤 1.7.2.25.3

移动 $- 39316005180 x^{2}$ 。

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

解题步骤 1.7.2.25.4

移动 $- 18551542428 x^{3}$ 。

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

解题步骤 1.7.2.25.5

移动 $- 610802856 x^{4}$ 。

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

解题步骤 1.7.2.25.6

移动 $580884696 x^{5}$ 。

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

解题步骤 1.7.2.25.7

移动 $86832648 x^{6}$ 。

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

解题步骤 1.7.2.25.8

移动 $- 865080 x^{7}$ 。

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

解题步骤 1.7.2.25.9

移动 $- 1304532 x^{8}$ 。

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

解题步骤 1.7.2.25.10

将 $- 6156 x^{10}$ 和 $- 108 x^{11}$ 重新排序。

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

解题步骤 2

多项式的次数是最高次项的次数。

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解题步骤 2.1

确定每项中各变量的指数，然后将其全部相加以得到每项的幂次。

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

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

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

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

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

$86832648 x^{6} \to 6$

$580884696 x^{5} \to 5$

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

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

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

$167882211900 x \to 1$

$581130733500 \to 0$

解题步骤 2.2

最大的指数是多项式的次数。

$11$

解题步骤 3

多项式的首项指的是次数最高的项。

$- 108 x^{11}$

解题步骤 4

多项式的首项系数指的是首项的系数。

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解题步骤 4.1

多项式的首项指的是次数最高的项。

$- 108 x^{11}$

解题步骤 4.2

多项式中的首项系数指的是首项的系数。

$- 108$

解题步骤 5

列出结果。

多项式次数： $11$

首项： $- 108 x^{11}$

首项系数： $- 108$

代数 示例

代数示例