代数示例

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

解题步骤 1

使用二项式定理。

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

解题步骤 2

化简每一项。

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解题步骤 2.1

对 $3$ 进行 $4$ 次方运算。

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

解题步骤 2.2

对 $3$ 进行 $3$ 次方运算。

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

解题步骤 2.3

将 $4$ 乘以 $27$ 。

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

解题步骤 2.4

将 $- 2$ 乘以 $108$ 。

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

解题步骤 2.5

对 $3$ 进行 $2$ 次方运算。

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

解题步骤 2.6

将 $6$ 乘以 $9$ 。

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

解题步骤 2.7

对 $- 2 x$ 运用乘积法则。

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

解题步骤 2.8

对 $- 2$ 进行 $2$ 次方运算。

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

解题步骤 2.9

将 $4$ 乘以 $54$ 。

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

解题步骤 2.10

将 $4$ 乘以 $3$ 。

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

解题步骤 2.11

对 $- 2 x$ 运用乘积法则。

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

解题步骤 2.12

对 $- 2$ 进行 $3$ 次方运算。

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

解题步骤 2.13

将 $- 8$ 乘以 $12$ 。

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

解题步骤 2.14

对 $- 2 x$ 运用乘积法则。

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

解题步骤 2.15

对 $- 2$ 进行 $4$ 次方运算。

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

解题步骤 3

使用二项式定理。

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

解题步骤 4

化简每一项。

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解题步骤 4.1

对 $7 x$ 运用乘积法则。

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

解题步骤 4.2

对 $7$ 进行 $7$ 次方运算。

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

解题步骤 4.3

对 $7 x$ 运用乘积法则。

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

解题步骤 4.4

通过指数相加将 $7$ 乘以 $7^{6}$ 。

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解题步骤 4.4.1

移动 $7^{6}$ 。

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

解题步骤 4.4.2

将 $7^{6}$ 乘以 $7$ 。

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解题步骤 4.4.2.1

对 $7$ 进行 $1$ 次方运算。

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

解题步骤 4.4.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 4.4.3

将 $6$ 和 $1$ 相加。

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

解题步骤 4.5

对 $7$ 进行 $7$ 次方运算。

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

解题步骤 4.6

将 $2$ 乘以 $823543$ 。

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

解题步骤 4.7

对 $7 x$ 运用乘积法则。

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

解题步骤 4.8

对 $7$ 进行 $5$ 次方运算。

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

解题步骤 4.9

将 $16807$ 乘以 $21$ 。

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

解题步骤 4.10

对 $2$ 进行 $2$ 次方运算。

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

解题步骤 4.11

将 $4$ 乘以 $352947$ 。

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

解题步骤 4.12

对 $7 x$ 运用乘积法则。

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

解题步骤 4.13

对 $7$ 进行 $4$ 次方运算。

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

解题步骤 4.14

将 $2401$ 乘以 $35$ 。

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

解题步骤 4.15

对 $2$ 进行 $3$ 次方运算。

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

解题步骤 4.16

将 $8$ 乘以 $84035$ 。

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

解题步骤 4.17

对 $7 x$ 运用乘积法则。

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

解题步骤 4.18

对 $7$ 进行 $3$ 次方运算。

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

解题步骤 4.19

将 $343$ 乘以 $35$ 。

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

解题步骤 4.20

对 $2$ 进行 $4$ 次方运算。

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

解题步骤 4.21

将 $16$ 乘以 $12005$ 。

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

解题步骤 4.22

对 $7 x$ 运用乘积法则。

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

解题步骤 4.23

对 $7$ 进行 $2$ 次方运算。

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

解题步骤 4.24

将 $49$ 乘以 $21$ 。

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

解题步骤 4.25

对 $2$ 进行 $5$ 次方运算。

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

解题步骤 4.26

将 $32$ 乘以 $1029$ 。

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

解题步骤 4.27

将 $7$ 乘以 $7$ 。

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

解题步骤 4.28

对 $2$ 进行 $6$ 次方运算。

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

解题步骤 4.29

将 $64$ 乘以 $49$ 。

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

解题步骤 4.30

对 $2$ 进行 $7$ 次方运算。

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

解题步骤 5

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

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

解题步骤 6

化简项。

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解题步骤 6.1

化简每一项。

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解题步骤 6.1.1

将 $823543$ 乘以 $81$ 。

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

解题步骤 6.1.2

将 $1647086$ 乘以 $81$ 。

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

解题步骤 6.1.3

将 $1411788$ 乘以 $81$ 。

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

解题步骤 6.1.4

将 $672280$ 乘以 $81$ 。

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

解题步骤 6.1.5

将 $192080$ 乘以 $81$ 。

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

解题步骤 6.1.6

将 $32928$ 乘以 $81$ 。

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

解题步骤 6.1.7

将 $3136$ 乘以 $81$ 。

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

解题步骤 6.1.8

将 $81$ 乘以 $128$ 。

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

解题步骤 6.1.9

使用乘法的交换性质重写。

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

解题步骤 6.1.10

通过指数相加将 $x$ 乘以 $x^{7}$ 。

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解题步骤 6.1.10.1

移动 $x^{7}$ 。

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

解题步骤 6.1.10.2

将 $x^{7}$ 乘以 $x$ 。

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解题步骤 6.1.10.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 6.1.10.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.10.3

将 $7$ 和 $1$ 相加。

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

解题步骤 6.1.11

将 $- 216$ 乘以 $823543$ 。

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

解题步骤 6.1.12

使用乘法的交换性质重写。

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

解题步骤 6.1.13

通过指数相加将 $x$ 乘以 $x^{6}$ 。

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解题步骤 6.1.13.1

移动 $x^{6}$ 。

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

解题步骤 6.1.13.2

将 $x^{6}$ 乘以 $x$ 。

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解题步骤 6.1.13.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 6.1.13.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.13.3

将 $6$ 和 $1$ 相加。

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

解题步骤 6.1.14

将 $- 216$ 乘以 $1647086$ 。

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

解题步骤 6.1.15

使用乘法的交换性质重写。

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

解题步骤 6.1.16

通过指数相加将 $x$ 乘以 $x^{5}$ 。

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解题步骤 6.1.16.1

移动 $x^{5}$ 。

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

解题步骤 6.1.16.2

将 $x^{5}$ 乘以 $x$ 。

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解题步骤 6.1.16.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 6.1.16.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.16.3

将 $5$ 和 $1$ 相加。

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

解题步骤 6.1.17

将 $- 216$ 乘以 $1411788$ 。

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

解题步骤 6.1.18

使用乘法的交换性质重写。

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

解题步骤 6.1.19

通过指数相加将 $x$ 乘以 $x^{4}$ 。

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解题步骤 6.1.19.1

移动 $x^{4}$ 。

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

解题步骤 6.1.19.2

将 $x^{4}$ 乘以 $x$ 。

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解题步骤 6.1.19.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 6.1.19.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.19.3

将 $4$ 和 $1$ 相加。

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

解题步骤 6.1.20

将 $- 216$ 乘以 $672280$ 。

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

解题步骤 6.1.21

使用乘法的交换性质重写。

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

解题步骤 6.1.22

通过指数相加将 $x$ 乘以 $x^{3}$ 。

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解题步骤 6.1.22.1

移动 $x^{3}$ 。

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

解题步骤 6.1.22.2

将 $x^{3}$ 乘以 $x$ 。

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解题步骤 6.1.22.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 6.1.22.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.22.3

将 $3$ 和 $1$ 相加。

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

解题步骤 6.1.23

将 $- 216$ 乘以 $192080$ 。

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

解题步骤 6.1.24

使用乘法的交换性质重写。

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

解题步骤 6.1.25

通过指数相加将 $x$ 乘以 $x^{2}$ 。

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解题步骤 6.1.25.1

移动 $x^{2}$ 。

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

解题步骤 6.1.25.2

将 $x^{2}$ 乘以 $x$ 。

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解题步骤 6.1.25.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 6.1.25.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.25.3

将 $2$ 和 $1$ 相加。

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

解题步骤 6.1.26

将 $- 216$ 乘以 $32928$ 。

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

解题步骤 6.1.27

使用乘法的交换性质重写。

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

解题步骤 6.1.28

通过指数相加将 $x$ 乘以 $x$ 。

点击获取更多步骤...

解题步骤 6.1.28.1

移动 $x$ 。

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

解题步骤 6.1.28.2

将 $x$ 乘以 $x$ 。

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

解题步骤 6.1.29

将 $- 216$ 乘以 $3136$ 。

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

解题步骤 6.1.30

将 $128$ 乘以 $- 216$ 。

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

解题步骤 6.1.31

使用乘法的交换性质重写。

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

解题步骤 6.1.32

通过指数相加将 $x^{2}$ 乘以 $x^{7}$ 。

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解题步骤 6.1.32.1

移动 $x^{7}$ 。

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

解题步骤 6.1.32.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.32.3

将 $7$ 和 $2$ 相加。

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

解题步骤 6.1.33

将 $216$ 乘以 $823543$ 。

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

解题步骤 6.1.34

使用乘法的交换性质重写。

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

解题步骤 6.1.35

通过指数相加将 $x^{2}$ 乘以 $x^{6}$ 。

点击获取更多步骤...

解题步骤 6.1.35.1

移动 $x^{6}$ 。

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

解题步骤 6.1.35.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.35.3

将 $6$ 和 $2$ 相加。

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

解题步骤 6.1.36

将 $216$ 乘以 $1647086$ 。

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

解题步骤 6.1.37

使用乘法的交换性质重写。

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

解题步骤 6.1.38

通过指数相加将 $x^{2}$ 乘以 $x^{5}$ 。

点击获取更多步骤...

解题步骤 6.1.38.1

移动 $x^{5}$ 。

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

解题步骤 6.1.38.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.38.3

将 $5$ 和 $2$ 相加。

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

解题步骤 6.1.39

将 $216$ 乘以 $1411788$ 。

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

解题步骤 6.1.40

使用乘法的交换性质重写。

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

解题步骤 6.1.41

通过指数相加将 $x^{2}$ 乘以 $x^{4}$ 。

点击获取更多步骤...

解题步骤 6.1.41.1

移动 $x^{4}$ 。

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

解题步骤 6.1.41.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.41.3

将 $4$ 和 $2$ 相加。

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

解题步骤 6.1.42

将 $216$ 乘以 $672280$ 。

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

解题步骤 6.1.43

使用乘法的交换性质重写。

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

解题步骤 6.1.44

通过指数相加将 $x^{2}$ 乘以 $x^{3}$ 。

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解题步骤 6.1.44.1

移动 $x^{3}$ 。

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

解题步骤 6.1.44.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.44.3

将 $3$ 和 $2$ 相加。

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

解题步骤 6.1.45

将 $216$ 乘以 $192080$ 。

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

解题步骤 6.1.46

使用乘法的交换性质重写。

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

解题步骤 6.1.47

通过指数相加将 $x^{2}$ 乘以 $x^{2}$ 。

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解题步骤 6.1.47.1

移动 $x^{2}$ 。

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

解题步骤 6.1.47.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.47.3

将 $2$ 和 $2$ 相加。

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

解题步骤 6.1.48

将 $216$ 乘以 $32928$ 。

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

解题步骤 6.1.49

使用乘法的交换性质重写。

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

解题步骤 6.1.50

通过指数相加将 $x^{2}$ 乘以 $x$ 。

点击获取更多步骤...

解题步骤 6.1.50.1

移动 $x$ 。

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

解题步骤 6.1.50.2

将 $x$ 乘以 $x^{2}$ 。

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解题步骤 6.1.50.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 6.1.50.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.50.3

将 $1$ 和 $2$ 相加。

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

解题步骤 6.1.51

将 $216$ 乘以 $3136$ 。

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

解题步骤 6.1.52

将 $128$ 乘以 $216$ 。

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

解题步骤 6.1.53

使用乘法的交换性质重写。

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

解题步骤 6.1.54

通过指数相加将 $x^{3}$ 乘以 $x^{7}$ 。

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解题步骤 6.1.54.1

移动 $x^{7}$ 。

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

解题步骤 6.1.54.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.54.3

将 $7$ 和 $3$ 相加。

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

解题步骤 6.1.55

将 $- 96$ 乘以 $823543$ 。

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

解题步骤 6.1.56

使用乘法的交换性质重写。

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

解题步骤 6.1.57

通过指数相加将 $x^{3}$ 乘以 $x^{6}$ 。

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解题步骤 6.1.57.1

移动 $x^{6}$ 。

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

解题步骤 6.1.57.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.57.3

将 $6$ 和 $3$ 相加。

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

解题步骤 6.1.58

将 $- 96$ 乘以 $1647086$ 。

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

解题步骤 6.1.59

使用乘法的交换性质重写。

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

解题步骤 6.1.60

通过指数相加将 $x^{3}$ 乘以 $x^{5}$ 。

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解题步骤 6.1.60.1

移动 $x^{5}$ 。

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

解题步骤 6.1.60.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.60.3

将 $5$ 和 $3$ 相加。

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

解题步骤 6.1.61

将 $- 96$ 乘以 $1411788$ 。

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

解题步骤 6.1.62

使用乘法的交换性质重写。

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

解题步骤 6.1.63

通过指数相加将 $x^{3}$ 乘以 $x^{4}$ 。

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解题步骤 6.1.63.1

移动 $x^{4}$ 。

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

解题步骤 6.1.63.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.63.3

将 $4$ 和 $3$ 相加。

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

解题步骤 6.1.64

将 $- 96$ 乘以 $672280$ 。

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

解题步骤 6.1.65

使用乘法的交换性质重写。

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

解题步骤 6.1.66

通过指数相加将 $x^{3}$ 乘以 $x^{3}$ 。

点击获取更多步骤...

解题步骤 6.1.66.1

移动 $x^{3}$ 。

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

解题步骤 6.1.66.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.66.3

将 $3$ 和 $3$ 相加。

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

解题步骤 6.1.67

将 $- 96$ 乘以 $192080$ 。

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

解题步骤 6.1.68

使用乘法的交换性质重写。

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

解题步骤 6.1.69

通过指数相加将 $x^{3}$ 乘以 $x^{2}$ 。

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解题步骤 6.1.69.1

移动 $x^{2}$ 。

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

解题步骤 6.1.69.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.69.3

将 $2$ 和 $3$ 相加。

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

解题步骤 6.1.70

将 $- 96$ 乘以 $32928$ 。

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

解题步骤 6.1.71

使用乘法的交换性质重写。

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

解题步骤 6.1.72

通过指数相加将 $x^{3}$ 乘以 $x$ 。

点击获取更多步骤...

解题步骤 6.1.72.1

移动 $x$ 。

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

解题步骤 6.1.72.2

将 $x$ 乘以 $x^{3}$ 。

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解题步骤 6.1.72.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 6.1.72.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.72.3

将 $1$ 和 $3$ 相加。

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

解题步骤 6.1.73

将 $- 96$ 乘以 $3136$ 。

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

解题步骤 6.1.74

将 $128$ 乘以 $- 96$ 。

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

解题步骤 6.1.75

使用乘法的交换性质重写。

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

解题步骤 6.1.76

通过指数相加将 $x^{4}$ 乘以 $x^{7}$ 。

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解题步骤 6.1.76.1

移动 $x^{7}$ 。

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

解题步骤 6.1.76.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.76.3

将 $7$ 和 $4$ 相加。

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

解题步骤 6.1.77

将 $16$ 乘以 $823543$ 。

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

解题步骤 6.1.78

使用乘法的交换性质重写。

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

解题步骤 6.1.79

通过指数相加将 $x^{4}$ 乘以 $x^{6}$ 。

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解题步骤 6.1.79.1

移动 $x^{6}$ 。

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

解题步骤 6.1.79.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.79.3

将 $6$ 和 $4$ 相加。

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

解题步骤 6.1.80

将 $16$ 乘以 $1647086$ 。

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

解题步骤 6.1.81

使用乘法的交换性质重写。

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

解题步骤 6.1.82

通过指数相加将 $x^{4}$ 乘以 $x^{5}$ 。

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解题步骤 6.1.82.1

移动 $x^{5}$ 。

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

解题步骤 6.1.82.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.82.3

将 $5$ 和 $4$ 相加。

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

解题步骤 6.1.83

将 $16$ 乘以 $1411788$ 。

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

解题步骤 6.1.84

使用乘法的交换性质重写。

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

解题步骤 6.1.85

通过指数相加将 $x^{4}$ 乘以 $x^{4}$ 。

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解题步骤 6.1.85.1

移动 $x^{4}$ 。

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

解题步骤 6.1.85.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.85.3

将 $4$ 和 $4$ 相加。

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

解题步骤 6.1.86

将 $16$ 乘以 $672280$ 。

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

解题步骤 6.1.87

使用乘法的交换性质重写。

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

解题步骤 6.1.88

通过指数相加将 $x^{4}$ 乘以 $x^{3}$ 。

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解题步骤 6.1.88.1

移动 $x^{3}$ 。

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

解题步骤 6.1.88.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.88.3

将 $3$ 和 $4$ 相加。

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

解题步骤 6.1.89

将 $16$ 乘以 $192080$ 。

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

解题步骤 6.1.90

使用乘法的交换性质重写。

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

解题步骤 6.1.91

通过指数相加将 $x^{4}$ 乘以 $x^{2}$ 。

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解题步骤 6.1.91.1

移动 $x^{2}$ 。

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

解题步骤 6.1.91.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.91.3

将 $2$ 和 $4$ 相加。

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

解题步骤 6.1.92

将 $16$ 乘以 $32928$ 。

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

解题步骤 6.1.93

使用乘法的交换性质重写。

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

解题步骤 6.1.94

通过指数相加将 $x^{4}$ 乘以 $x$ 。

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解题步骤 6.1.94.1

移动 $x$ 。

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

解题步骤 6.1.94.2

将 $x$ 乘以 $x^{4}$ 。

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解题步骤 6.1.94.2.1

对 $x$ 进行 $1$ 次方运算。

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

解题步骤 6.1.94.2.2

使用幂法则 $a^{m} a^{n} = a^{m + n}$ 合并指数。

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

解题步骤 6.1.94.3

将 $1$ 和 $4$ 相加。

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

解题步骤 6.1.95

将 $16$ 乘以 $3136$ 。

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

解题步骤 6.1.96

将 $128$ 乘以 $16$ 。

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

解题步骤 6.2

通过加上各项进行化简。

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解题步骤 6.2.1

从 $66706983 x^{7}$ 中减去 $355770576 x^{7}$ 。

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

解题步骤 6.2.2

将 $- 289063593 x^{7}$ 和 $304946208 x^{7}$ 相加。

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

解题步骤 6.2.3

从 $15882615 x^{7}$ 中减去 $64538880 x^{7}$ 。

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

解题步骤 6.2.4

将 $- 48656265 x^{7}$ 和 $3073280 x^{7}$ 相加。

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

解题步骤 6.2.5

从 $133413966 x^{6}$ 中减去 $304946208 x^{6}$ 。

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

解题步骤 6.2.6

将 $- 171532242 x^{6}$ 和 $145212480 x^{6}$ 相加。

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

解题步骤 6.2.7

从 $- 26319762 x^{6}$ 中减去 $18439680 x^{6}$ 。

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

解题步骤 6.2.8

将 $- 44759442 x^{6}$ 和 $526848 x^{6}$ 相加。

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

解题步骤 6.2.9

从 $114354828 x^{5}$ 中减去 $145212480 x^{5}$ 。

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

解题步骤 6.2.10

将 $- 30857652 x^{5}$ 和 $41489280 x^{5}$ 相加。

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

解题步骤 6.2.11

从 $10631628 x^{5}$ 中减去 $3161088 x^{5}$ 。

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

解题步骤 6.2.12

将 $7470540 x^{5}$ 和 $50176 x^{5}$ 相加。

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

解题步骤 6.2.13

从 $54454680 x^{4}$ 中减去 $41489280 x^{4}$ 。

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

解题步骤 6.2.14

将 $12965400 x^{4}$ 和 $7112448 x^{4}$ 相加。

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

解题步骤 6.2.15

从 $20077848 x^{4}$ 中减去 $301056 x^{4}$ 。

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

解题步骤 6.2.16

将 $19776792 x^{4}$ 和 $2048 x^{4}$ 相加。

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

解题步骤 6.2.17

从 $15558480 x^{3}$ 中减去 $7112448 x^{3}$ 。

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

解题步骤 6.2.18

将 $8446032 x^{3}$ 和 $677376 x^{3}$ 相加。

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

解题步骤 6.2.19

从 $9123408 x^{3}$ 中减去 $12288 x^{3}$ 。

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

解题步骤 6.2.20

从 $2667168 x^{2}$ 中减去 $677376 x^{2}$ 。

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

解题步骤 6.2.21

将 $1989792 x^{2}$ 和 $27648 x^{2}$ 相加。

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

解题步骤 6.2.22

从 $254016 x$ 中减去 $27648 x$ 。

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

解题步骤 6.2.23

将 $- 177885288 x^{8}$ 和 $355770576 x^{8}$ 相加。

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

解题步骤 6.2.24

从 $177885288 x^{9}$ 中减去 $158120256 x^{9}$ 。

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

解题步骤 6.2.25

将 $19765032 x^{9}$ 和 $22588608 x^{9}$ 相加。

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

解题步骤 6.2.26

从 $177885288 x^{8}$ 中减去 $135531648 x^{8}$ 。

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

解题步骤 6.2.27

将 $- 79060128 x^{10}$ 和 $26353376 x^{10}$ 相加。

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

解题步骤 6.2.28

将 $42353640 x^{8}$ 和 $10756480 x^{8}$ 相加。

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

代数 示例

代数示例