Algebra Examples

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

Step 1

Use the Binomial Theorem.

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

Step 2

Simplify each term.

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Step 2.1

Raise $3$ to the power of $4$ .

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

Step 2.2

Raise $3$ to the power of $3$ .

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

Step 2.3

Multiply $4$ by $27$ .

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

Step 2.4

Multiply $- 2$ by $108$ .

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

Step 2.5

Raise $3$ to the power of $2$ .

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

Step 2.6

Multiply $6$ by $9$ .

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

Step 2.7

Apply the product rule to $- 2 x$ .

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

Step 2.8

Raise $- 2$ to the power of $2$ .

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

Step 2.9

Multiply $4$ by $54$ .

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

Step 2.10

Multiply $4$ by $3$ .

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

Step 2.11

Apply the product rule to $- 2 x$ .

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

Step 2.12

Raise $- 2$ to the power of $3$ .

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

Step 2.13

Multiply $- 8$ by $12$ .

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

Step 2.14

Apply the product rule to $- 2 x$ .

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

Step 2.15

Raise $- 2$ to the power of $4$ .

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

Step 3

Use the Binomial Theorem.

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

Step 4

Simplify each term.

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Step 4.1

Apply the product rule to $7 x$ .

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

Step 4.2

Raise $7$ to the power of $7$ .

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

Step 4.3

Apply the product rule to $7 x$ .

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

Step 4.4

Multiply $7$ by $7^{6}$ by adding the exponents.

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Step 4.4.1

Move $7^{6}$ .

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

Step 4.4.2

Multiply $7^{6}$ by $7$ .

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Step 4.4.2.1

Raise $7$ to the power of $1$ .

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

Step 4.4.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 4.4.3

Add $6$ and $1$ .

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

Step 4.5

Raise $7$ to the power of $7$ .

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

Step 4.6

Multiply $2$ by $823543$ .

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

Step 4.7

Apply the product rule to $7 x$ .

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

Step 4.8

Raise $7$ to the power of $5$ .

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

Step 4.9

Multiply $16807$ by $21$ .

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

Step 4.10

Raise $2$ to the power of $2$ .

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

Step 4.11

Multiply $4$ by $352947$ .

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

Step 4.12

Apply the product rule to $7 x$ .

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

Step 4.13

Raise $7$ to the power of $4$ .

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

Step 4.14

Multiply $2401$ by $35$ .

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

Step 4.15

Raise $2$ to the power of $3$ .

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

Step 4.16

Multiply $8$ by $84035$ .

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

Step 4.17

Apply the product rule to $7 x$ .

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

Step 4.18

Raise $7$ to the power of $3$ .

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

Step 4.19

Multiply $343$ by $35$ .

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

Step 4.20

Raise $2$ to the power of $4$ .

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

Step 4.21

Multiply $16$ by $12005$ .

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

Step 4.22

Apply the product rule to $7 x$ .

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

Step 4.23

Raise $7$ to the power of $2$ .

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

Step 4.24

Multiply $49$ by $21$ .

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

Step 4.25

Raise $2$ to the power of $5$ .

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

Step 4.26

Multiply $32$ by $1029$ .

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

Step 4.27

Multiply $7$ by $7$ .

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

Step 4.28

Raise $2$ to the power of $6$ .

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

Step 4.29

Multiply $64$ by $49$ .

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

Step 4.30

Raise $2$ to the power of $7$ .

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

Step 5

Expand $(81 - 216 x + 216 x^{2} - 96 x^{3} + 16 x^{4}) (823543 x^{7} + 1647086 x^{6} + 1411788 x^{5} + 672280 x^{4} + 192080 x^{3} + 32928 x^{2} + 3136 x + 128)$ by multiplying each term in the first expression by each term in the second expression.

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

Step 6

Simplify terms.

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Step 6.1

Simplify each term.

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Step 6.1.1

Multiply $823543$ by $81$ .

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

Step 6.1.2

Multiply $1647086$ by $81$ .

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

Step 6.1.3

Multiply $1411788$ by $81$ .

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

Step 6.1.4

Multiply $672280$ by $81$ .

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

Step 6.1.5

Multiply $192080$ by $81$ .

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

Step 6.1.6

Multiply $32928$ by $81$ .

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

Step 6.1.7

Multiply $3136$ by $81$ .

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

Step 6.1.8

Multiply $81$ by $128$ .

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

Step 6.1.9

Rewrite using the commutative property of multiplication.

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

Step 6.1.10

Multiply $x$ by $x^{7}$ by adding the exponents.

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Step 6.1.10.1

Move $x^{7}$ .

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

Step 6.1.10.2

Multiply $x^{7}$ by $x$ .

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Step 6.1.10.2.1

Raise $x$ to the power of $1$ .

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

Step 6.1.10.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.10.3

Add $7$ and $1$ .

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

Step 6.1.11

Multiply $- 216$ by $823543$ .

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

Step 6.1.12

Rewrite using the commutative property of multiplication.

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

Step 6.1.13

Multiply $x$ by $x^{6}$ by adding the exponents.

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Step 6.1.13.1

Move $x^{6}$ .

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

Step 6.1.13.2

Multiply $x^{6}$ by $x$ .

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Step 6.1.13.2.1

Raise $x$ to the power of $1$ .

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

Step 6.1.13.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.13.3

Add $6$ and $1$ .

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

Step 6.1.14

Multiply $- 216$ by $1647086$ .

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

Step 6.1.15

Rewrite using the commutative property of multiplication.

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

Step 6.1.16

Multiply $x$ by $x^{5}$ by adding the exponents.

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Step 6.1.16.1

Move $x^{5}$ .

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

Step 6.1.16.2

Multiply $x^{5}$ by $x$ .

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Step 6.1.16.2.1

Raise $x$ to the power of $1$ .

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

Step 6.1.16.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.16.3

Add $5$ and $1$ .

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

Step 6.1.17

Multiply $- 216$ by $1411788$ .

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

Step 6.1.18

Rewrite using the commutative property of multiplication.

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

Step 6.1.19

Multiply $x$ by $x^{4}$ by adding the exponents.

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Step 6.1.19.1

Move $x^{4}$ .

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

Step 6.1.19.2

Multiply $x^{4}$ by $x$ .

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Step 6.1.19.2.1

Raise $x$ to the power of $1$ .

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

Step 6.1.19.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.19.3

Add $4$ and $1$ .

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

Step 6.1.20

Multiply $- 216$ by $672280$ .

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

Step 6.1.21

Rewrite using the commutative property of multiplication.

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

Step 6.1.22

Multiply $x$ by $x^{3}$ by adding the exponents.

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Step 6.1.22.1

Move $x^{3}$ .

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

Step 6.1.22.2

Multiply $x^{3}$ by $x$ .

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Step 6.1.22.2.1

Raise $x$ to the power of $1$ .

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

Step 6.1.22.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.22.3

Add $3$ and $1$ .

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

Step 6.1.23

Multiply $- 216$ by $192080$ .

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

Step 6.1.24

Rewrite using the commutative property of multiplication.

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

Step 6.1.25

Multiply $x$ by $x^{2}$ by adding the exponents.

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Step 6.1.25.1

Move $x^{2}$ .

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

Step 6.1.25.2

Multiply $x^{2}$ by $x$ .

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Step 6.1.25.2.1

Raise $x$ to the power of $1$ .

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

Step 6.1.25.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.25.3

Add $2$ and $1$ .

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

Step 6.1.26

Multiply $- 216$ by $32928$ .

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

Step 6.1.27

Rewrite using the commutative property of multiplication.

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

Step 6.1.28

Multiply $x$ by $x$ by adding the exponents.

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Step 6.1.28.1

Move $x$ .

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

Step 6.1.28.2

Multiply $x$ by $x$ .

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

Step 6.1.29

Multiply $- 216$ by $3136$ .

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

Step 6.1.30

Multiply $128$ by $- 216$ .

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

Step 6.1.31

Rewrite using the commutative property of multiplication.

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

Step 6.1.32

Multiply $x^{2}$ by $x^{7}$ by adding the exponents.

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Step 6.1.32.1

Move $x^{7}$ .

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

Step 6.1.32.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.32.3

Add $7$ and $2$ .

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

Step 6.1.33

Multiply $216$ by $823543$ .

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

Step 6.1.34

Rewrite using the commutative property of multiplication.

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

Step 6.1.35

Multiply $x^{2}$ by $x^{6}$ by adding the exponents.

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Step 6.1.35.1

Move $x^{6}$ .

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

Step 6.1.35.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.35.3

Add $6$ and $2$ .

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

Step 6.1.36

Multiply $216$ by $1647086$ .

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

Step 6.1.37

Rewrite using the commutative property of multiplication.

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

Step 6.1.38

Multiply $x^{2}$ by $x^{5}$ by adding the exponents.

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Step 6.1.38.1

Move $x^{5}$ .

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

Step 6.1.38.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.38.3

Add $5$ and $2$ .

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

Step 6.1.39

Multiply $216$ by $1411788$ .

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

Step 6.1.40

Rewrite using the commutative property of multiplication.

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

Step 6.1.41

Multiply $x^{2}$ by $x^{4}$ by adding the exponents.

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Step 6.1.41.1

Move $x^{4}$ .

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

Step 6.1.41.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.41.3

Add $4$ and $2$ .

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

Step 6.1.42

Multiply $216$ by $672280$ .

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

Step 6.1.43

Rewrite using the commutative property of multiplication.

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

Step 6.1.44

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

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Step 6.1.44.1

Move $x^{3}$ .

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

Step 6.1.44.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.44.3

Add $3$ and $2$ .

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

Step 6.1.45

Multiply $216$ by $192080$ .

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

Step 6.1.46

Rewrite using the commutative property of multiplication.

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

Step 6.1.47

Multiply $x^{2}$ by $x^{2}$ by adding the exponents.

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Step 6.1.47.1

Move $x^{2}$ .

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

Step 6.1.47.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.47.3

Add $2$ and $2$ .

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

Step 6.1.48

Multiply $216$ by $32928$ .

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

Step 6.1.49

Rewrite using the commutative property of multiplication.

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

Step 6.1.50

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 6.1.50.1

Move $x$ .

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

Step 6.1.50.2

Multiply $x$ by $x^{2}$ .

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Step 6.1.50.2.1

Raise $x$ to the power of $1$ .

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

Step 6.1.50.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.50.3

Add $1$ and $2$ .

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

Step 6.1.51

Multiply $216$ by $3136$ .

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

Step 6.1.52

Multiply $128$ by $216$ .

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

Step 6.1.53

Rewrite using the commutative property of multiplication.

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

Step 6.1.54

Multiply $x^{3}$ by $x^{7}$ by adding the exponents.

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Step 6.1.54.1

Move $x^{7}$ .

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

Step 6.1.54.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.54.3

Add $7$ and $3$ .

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

Step 6.1.55

Multiply $- 96$ by $823543$ .

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

Step 6.1.56

Rewrite using the commutative property of multiplication.

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

Step 6.1.57

Multiply $x^{3}$ by $x^{6}$ by adding the exponents.

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Step 6.1.57.1

Move $x^{6}$ .

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

Step 6.1.57.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.57.3

Add $6$ and $3$ .

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

Step 6.1.58

Multiply $- 96$ by $1647086$ .

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

Step 6.1.59

Rewrite using the commutative property of multiplication.

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

Step 6.1.60

Multiply $x^{3}$ by $x^{5}$ by adding the exponents.

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Step 6.1.60.1

Move $x^{5}$ .

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

Step 6.1.60.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.60.3

Add $5$ and $3$ .

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

Step 6.1.61

Multiply $- 96$ by $1411788$ .

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

Step 6.1.62

Rewrite using the commutative property of multiplication.

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

Step 6.1.63

Multiply $x^{3}$ by $x^{4}$ by adding the exponents.

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Step 6.1.63.1

Move $x^{4}$ .

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

Step 6.1.63.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.63.3

Add $4$ and $3$ .

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

Step 6.1.64

Multiply $- 96$ by $672280$ .

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

Step 6.1.65

Rewrite using the commutative property of multiplication.

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

Step 6.1.66

Multiply $x^{3}$ by $x^{3}$ by adding the exponents.

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Step 6.1.66.1

Move $x^{3}$ .

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

Step 6.1.66.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.66.3

Add $3$ and $3$ .

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

Step 6.1.67

Multiply $- 96$ by $192080$ .

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

Step 6.1.68

Rewrite using the commutative property of multiplication.

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

Step 6.1.69

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

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Step 6.1.69.1

Move $x^{2}$ .

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

Step 6.1.69.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.69.3

Add $2$ and $3$ .

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

Step 6.1.70

Multiply $- 96$ by $32928$ .

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

Step 6.1.71

Rewrite using the commutative property of multiplication.

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

Step 6.1.72

Multiply $x^{3}$ by $x$ by adding the exponents.

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Step 6.1.72.1

Move $x$ .

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

Step 6.1.72.2

Multiply $x$ by $x^{3}$ .

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Step 6.1.72.2.1

Raise $x$ to the power of $1$ .

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

Step 6.1.72.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.72.3

Add $1$ and $3$ .

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

Step 6.1.73

Multiply $- 96$ by $3136$ .

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

Step 6.1.74

Multiply $128$ by $- 96$ .

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

Step 6.1.75

Rewrite using the commutative property of multiplication.

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

Step 6.1.76

Multiply $x^{4}$ by $x^{7}$ by adding the exponents.

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Step 6.1.76.1

Move $x^{7}$ .

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

Step 6.1.76.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.76.3

Add $7$ and $4$ .

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

Step 6.1.77

Multiply $16$ by $823543$ .

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

Step 6.1.78

Rewrite using the commutative property of multiplication.

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

Step 6.1.79

Multiply $x^{4}$ by $x^{6}$ by adding the exponents.

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Step 6.1.79.1

Move $x^{6}$ .

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

Step 6.1.79.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.79.3

Add $6$ and $4$ .

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

Step 6.1.80

Multiply $16$ by $1647086$ .

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

Step 6.1.81

Rewrite using the commutative property of multiplication.

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

Step 6.1.82

Multiply $x^{4}$ by $x^{5}$ by adding the exponents.

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Step 6.1.82.1

Move $x^{5}$ .

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

Step 6.1.82.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.82.3

Add $5$ and $4$ .

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

Step 6.1.83

Multiply $16$ by $1411788$ .

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

Step 6.1.84

Rewrite using the commutative property of multiplication.

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

Step 6.1.85

Multiply $x^{4}$ by $x^{4}$ by adding the exponents.

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Step 6.1.85.1

Move $x^{4}$ .

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

Step 6.1.85.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.85.3

Add $4$ and $4$ .

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

Step 6.1.86

Multiply $16$ by $672280$ .

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

Step 6.1.87

Rewrite using the commutative property of multiplication.

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

Step 6.1.88

Multiply $x^{4}$ by $x^{3}$ by adding the exponents.

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Step 6.1.88.1

Move $x^{3}$ .

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

Step 6.1.88.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.88.3

Add $3$ and $4$ .

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

Step 6.1.89

Multiply $16$ by $192080$ .

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

Step 6.1.90

Rewrite using the commutative property of multiplication.

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

Step 6.1.91

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

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Step 6.1.91.1

Move $x^{2}$ .

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

Step 6.1.91.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.91.3

Add $2$ and $4$ .

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

Step 6.1.92

Multiply $16$ by $32928$ .

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

Step 6.1.93

Rewrite using the commutative property of multiplication.

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

Step 6.1.94

Multiply $x^{4}$ by $x$ by adding the exponents.

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Step 6.1.94.1

Move $x$ .

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

Step 6.1.94.2

Multiply $x$ by $x^{4}$ .

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Step 6.1.94.2.1

Raise $x$ to the power of $1$ .

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

Step 6.1.94.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 6.1.94.3

Add $1$ and $4$ .

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

Step 6.1.95

Multiply $16$ by $3136$ .

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

Step 6.1.96

Multiply $128$ by $16$ .

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

Step 6.2

Simplify by adding terms.

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Step 6.2.1

Subtract $355770576 x^{7}$ from $66706983 x^{7}$ .

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

Step 6.2.2

Add $- 289063593 x^{7}$ and $304946208 x^{7}$ .

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

Step 6.2.3

Subtract $64538880 x^{7}$ from $15882615 x^{7}$ .

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

Step 6.2.4

Add $- 48656265 x^{7}$ and $3073280 x^{7}$ .

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

Step 6.2.5

Subtract $304946208 x^{6}$ from $133413966 x^{6}$ .

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

Step 6.2.6

Add $- 171532242 x^{6}$ and $145212480 x^{6}$ .

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

Step 6.2.7

Subtract $18439680 x^{6}$ from $- 26319762 x^{6}$ .

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

Step 6.2.8

Add $- 44759442 x^{6}$ and $526848 x^{6}$ .

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

Step 6.2.9

Subtract $145212480 x^{5}$ from $114354828 x^{5}$ .

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

Step 6.2.10

Add $- 30857652 x^{5}$ and $41489280 x^{5}$ .

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

Step 6.2.11

Subtract $3161088 x^{5}$ from $10631628 x^{5}$ .

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

Step 6.2.12

Add $7470540 x^{5}$ and $50176 x^{5}$ .

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

Step 6.2.13

Subtract $41489280 x^{4}$ from $54454680 x^{4}$ .

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

Step 6.2.14

Add $12965400 x^{4}$ and $7112448 x^{4}$ .

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

Step 6.2.15

Subtract $301056 x^{4}$ from $20077848 x^{4}$ .

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

Step 6.2.16

Add $19776792 x^{4}$ and $2048 x^{4}$ .

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

Step 6.2.17

Subtract $7112448 x^{3}$ from $15558480 x^{3}$ .

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

Step 6.2.18

Add $8446032 x^{3}$ and $677376 x^{3}$ .

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

Step 6.2.19

Subtract $12288 x^{3}$ from $9123408 x^{3}$ .

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

Step 6.2.20

Subtract $677376 x^{2}$ from $2667168 x^{2}$ .

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

Step 6.2.21

Add $1989792 x^{2}$ and $27648 x^{2}$ .

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

Step 6.2.22

Subtract $27648 x$ from $254016 x$ .

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

Step 6.2.23

Add $- 177885288 x^{8}$ and $355770576 x^{8}$ .

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

Step 6.2.24

Subtract $158120256 x^{9}$ from $177885288 x^{9}$ .

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

Step 6.2.25

Add $19765032 x^{9}$ and $22588608 x^{9}$ .

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

Step 6.2.26

Subtract $135531648 x^{8}$ from $177885288 x^{8}$ .

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

Step 6.2.27

Add $- 79060128 x^{10}$ and $26353376 x^{10}$ .

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

Step 6.2.28

Add $42353640 x^{8}$ and $10756480 x^{8}$ .

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