代数例

$f (x) = {(x + 4)}^{4} (x - 1) {(x + 2)}^{7}$

Step 1

簡約し、多項式を並べ替えます。

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二項定理を利用します。

$(x^{4} + 4 x^{3} \cdot 4 + 6 x^{2} \cdot 4^{2} + 4 x \cdot 4^{3} + 4^{4}) (x - 1) {(x + 2)}^{7}$

各項を簡約します。

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$4$ に $4$ をかけます。

$(x^{4} + 16 x^{3} + 6 x^{2} \cdot 4^{2} + 4 x \cdot 4^{3} + 4^{4}) (x - 1) {(x + 2)}^{7}$

$4$ を $2$ 乗します。

$(x^{4} + 16 x^{3} + 6 x^{2} \cdot 16 + 4 x \cdot 4^{3} + 4^{4}) (x - 1) {(x + 2)}^{7}$

$16$ に $6$ をかけます。

$(x^{4} + 16 x^{3} + 96 x^{2} + 4 x \cdot 4^{3} + 4^{4}) (x - 1) {(x + 2)}^{7}$

指数を足して $4$ に $4^{3}$ を掛けます。

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$4^{3}$ を移動させます。

$(x^{4} + 16 x^{3} + 96 x^{2} + 4^{3} \cdot 4 x + 4^{4}) (x - 1) {(x + 2)}^{7}$

$4^{3}$ に $4$ をかけます。

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$4$ を $1$ 乗します。

$(x^{4} + 16 x^{3} + 96 x^{2} + 4^{3} \cdot 4^{1} x + 4^{4}) (x - 1) {(x + 2)}^{7}$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$(x^{4} + 16 x^{3} + 96 x^{2} + 4^{3 + 1} x + 4^{4}) (x - 1) {(x + 2)}^{7}$

$3$ と $1$ をたし算します。

$(x^{4} + 16 x^{3} + 96 x^{2} + 4^{4} x + 4^{4}) (x - 1) {(x + 2)}^{7}$

$4$ を $4$ 乗します。

$(x^{4} + 16 x^{3} + 96 x^{2} + 256 x + 4^{4}) (x - 1) {(x + 2)}^{7}$

$4$ を $4$ 乗します。

$(x^{4} + 16 x^{3} + 96 x^{2} + 256 x + 256) (x - 1) {(x + 2)}^{7}$

1番目の式の各項に2番目の式の各項を掛け、 $(x^{4} + 16 x^{3} + 96 x^{2} + 256 x + 256) (x - 1)$ を展開します。

$(x^{4} x + x^{4} \cdot - 1 + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

項を簡約します。

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各項を簡約します。

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指数を足して $x^{4}$ に $x$ を掛けます。

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$x^{4}$ に $x$ をかけます。

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$x$ を $1$ 乗します。

$(x^{4} x^{1} + x^{4} \cdot - 1 + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$(x^{4 + 1} + x^{4} \cdot - 1 + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$4$ と $1$ をたし算します。

$(x^{5} + x^{4} \cdot - 1 + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$- 1$ を $x^{4}$ の左に移動させます。

$(x^{5} - 1 \cdot x^{4} + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$- 1 x^{4}$ を $- x^{4}$ に書き換えます。

$(x^{5} - x^{4} + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

指数を足して $x^{3}$ に $x$ を掛けます。

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$x$ を移動させます。

$(x^{5} - x^{4} + 16 (x \cdot x^{3}) + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$x$ に $x^{3}$ をかけます。

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$x$ を $1$ 乗します。

$(x^{5} - x^{4} + 16 (x^{1} x^{3}) + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$(x^{5} - x^{4} + 16 x^{1 + 3} + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$1$ と $3$ をたし算します。

$(x^{5} - x^{4} + 16 x^{4} + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$- 1$ に $16$ をかけます。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

指数を足して $x^{2}$ に $x$ を掛けます。

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$x$ を移動させます。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 (x \cdot x^{2}) + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$x$ に $x^{2}$ をかけます。

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$x$ を $1$ 乗します。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 (x^{1} x^{2}) + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{1 + 2} + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$1$ と $2$ をたし算します。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$- 1$ に $96$ をかけます。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

指数を足して $x$ に $x$ を掛けます。

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$x$ を移動させます。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 (x \cdot x) + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$x$ に $x$ をかけます。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$- 1$ に $256$ をかけます。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} - 256 x + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$256$ に $- 1$ をかけます。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} - 256 x + 256 x - 256) {(x + 2)}^{7}$

項を加えて簡約します。

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$x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} - 256 x + 256 x - 256$ の反対側の項を組み合わせます。

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$- 256 x$ と $256 x$ をたし算します。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} + 0 - 256) {(x + 2)}^{7}$

$x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2}$ と $0$ をたし算します。

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} - 256) {(x + 2)}^{7}$

$- x^{4}$ と $16 x^{4}$ をたし算します。

$(x^{5} + 15 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} - 256) {(x + 2)}^{7}$

$- 16 x^{3}$ と $96 x^{3}$ をたし算します。

$(x^{5} + 15 x^{4} + 80 x^{3} - 96 x^{2} + 256 x^{2} - 256) {(x + 2)}^{7}$

$- 96 x^{2}$ と $256 x^{2}$ をたし算します。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) {(x + 2)}^{7}$

二項定理を利用します。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 7 x^{6} \cdot 2 + 21 x^{5} \cdot 2^{2} + 35 x^{4} \cdot 2^{3} + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

各項を簡約します。

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$2$ に $7$ をかけます。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 21 x^{5} \cdot 2^{2} + 35 x^{4} \cdot 2^{3} + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$2$ を $2$ 乗します。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 21 x^{5} \cdot 4 + 35 x^{4} \cdot 2^{3} + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$4$ に $21$ をかけます。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 35 x^{4} \cdot 2^{3} + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$2$ を $3$ 乗します。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 35 x^{4} \cdot 8 + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$8$ に $35$ をかけます。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$2$ を $4$ 乗します。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 35 x^{3} \cdot 16 + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$16$ に $35$ をかけます。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$2$ を $5$ 乗します。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 21 x^{2} \cdot 32 + 7 x \cdot 2^{6} + 2^{7})$

$32$ に $21$ をかけます。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 672 x^{2} + 7 x \cdot 2^{6} + 2^{7})$

$2$ を $6$ 乗します。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 672 x^{2} + 7 x \cdot 64 + 2^{7})$

$64$ に $7$ をかけます。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 672 x^{2} + 448 x + 2^{7})$

$2$ を $7$ 乗します。

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 672 x^{2} + 448 x + 128)$

1番目の式の各項に2番目の式の各項を掛け、 $(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 672 x^{2} + 448 x + 128)$ を展開します。

$x^{5} x^{7} + x^{5} (14 x^{6}) + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

項を簡約します。

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各項を簡約します。

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指数を足して $x^{5}$ に $x^{7}$ を掛けます。

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べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{5 + 7} + x^{5} (14 x^{6}) + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$5$ と $7$ をたし算します。

$x^{12} + x^{5} (14 x^{6}) + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{5} x^{6} + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{5}$ に $x^{6}$ を掛けます。

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$x^{6}$ を移動させます。

$x^{12} + 14 (x^{6} x^{5}) + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{6 + 5} + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$6$ と $5$ をたし算します。

$x^{12} + 14 x^{11} + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{5} x^{5} + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{5}$ に $x^{5}$ を掛けます。

タップして手順をさらに表示してください…

$x^{5}$ を移動させます。

$x^{12} + 14 x^{11} + 84 (x^{5} x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{5 + 5} + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$5$ と $5$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{5} x^{4} + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{5}$ に $x^{4}$ を掛けます。

タップして手順をさらに表示してください…

$x^{4}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 (x^{4} x^{5}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{4 + 5} + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$4$ と $5$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{5} x^{3} + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{5}$ に $x^{3}$ を掛けます。

タップして手順をさらに表示してください…

$x^{3}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 (x^{3} x^{5}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{3 + 5} + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$3$ と $5$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{5} x^{2} + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{5}$ に $x^{2}$ を掛けます。

タップして手順をさらに表示してください…

$x^{2}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 (x^{2} x^{5}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{2 + 5} + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$2$ と $5$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{5} x + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{5}$ に $x$ を掛けます。

タップして手順をさらに表示してください…

$x$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 (x \cdot x^{5}) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$x$ に $x^{5}$ をかけます。

タップして手順をさらに表示してください…

$x$ を $1$ 乗します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 (x^{1} x^{5}) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{1 + 5} + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$1$ と $5$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$128$ を $x^{5}$ の左に移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 \cdot x^{5} + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{4}$ に $x^{7}$ を掛けます。

タップして手順をさらに表示してください…

$x^{7}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 (x^{7} x^{4}) + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{7 + 4} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$7$ と $4$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 15 \cdot 14 x^{4} x^{6} + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{4}$ に $x^{6}$ を掛けます。

タップして手順をさらに表示してください…

$x^{6}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 15 \cdot 14 (x^{6} x^{4}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 15 \cdot 14 x^{6 + 4} + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$6$ と $4$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 15 \cdot 14 x^{10} + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ に $14$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 15 \cdot 84 x^{4} x^{5} + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{4}$ に $x^{5}$ を掛けます。

タップして手順をさらに表示してください…

$x^{5}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 15 \cdot 84 (x^{5} x^{4}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 15 \cdot 84 x^{5 + 4} + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$5$ と $4$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 15 \cdot 84 x^{9} + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ に $84$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 15 \cdot 280 x^{4} x^{4} + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{4}$ に $x^{4}$ を掛けます。

タップして手順をさらに表示してください…

$x^{4}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 15 \cdot 280 (x^{4} x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 15 \cdot 280 x^{4 + 4} + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$4$ と $4$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 15 \cdot 280 x^{8} + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ に $280$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 15 \cdot 560 x^{4} x^{3} + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{4}$ に $x^{3}$ を掛けます。

タップして手順をさらに表示してください…

$x^{3}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 15 \cdot 560 (x^{3} x^{4}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 15 \cdot 560 x^{3 + 4} + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$3$ と $4$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 15 \cdot 560 x^{7} + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ に $560$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 15 \cdot 672 x^{4} x^{2} + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{4}$ に $x^{2}$ を掛けます。

タップして手順をさらに表示してください…

$x^{2}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 15 \cdot 672 (x^{2} x^{4}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 15 \cdot 672 x^{2 + 4} + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$2$ と $4$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 15 \cdot 672 x^{6} + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ に $672$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 \cdot 448 x^{4} x + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{4}$ に $x$ を掛けます。

タップして手順をさらに表示してください…

$x$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 \cdot 448 (x \cdot x^{4}) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$x$ に $x^{4}$ をかけます。

タップして手順をさらに表示してください…

$x$ を $1$ 乗します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 \cdot 448 (x^{1} x^{4}) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 \cdot 448 x^{1 + 4} + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$1$ と $4$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 \cdot 448 x^{5} + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ に $448$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$128$ に $15$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{3}$ に $x^{7}$ を掛けます。

タップして手順をさらに表示してください…

$x^{7}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 (x^{7} x^{3}) + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{7 + 3} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$7$ と $3$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 80 \cdot 14 x^{3} x^{6} + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{3}$ に $x^{6}$ を掛けます。

タップして手順をさらに表示してください…

$x^{6}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 80 \cdot 14 (x^{6} x^{3}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 80 \cdot 14 x^{6 + 3} + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$6$ と $3$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 80 \cdot 14 x^{9} + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ に $14$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 80 \cdot 84 x^{3} x^{5} + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{3}$ に $x^{5}$ を掛けます。

タップして手順をさらに表示してください…

$x^{5}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 80 \cdot 84 (x^{5} x^{3}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 80 \cdot 84 x^{5 + 3} + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$5$ と $3$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 80 \cdot 84 x^{8} + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ に $84$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 80 \cdot 280 x^{3} x^{4} + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{3}$ に $x^{4}$ を掛けます。

タップして手順をさらに表示してください…

$x^{4}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 80 \cdot 280 (x^{4} x^{3}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 80 \cdot 280 x^{4 + 3} + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$4$ と $3$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 80 \cdot 280 x^{7} + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ に $280$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 80 \cdot 560 x^{3} x^{3} + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{3}$ に $x^{3}$ を掛けます。

タップして手順をさらに表示してください…

$x^{3}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 80 \cdot 560 (x^{3} x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 80 \cdot 560 x^{3 + 3} + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$3$ と $3$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 80 \cdot 560 x^{6} + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ に $560$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 80 \cdot 672 x^{3} x^{2} + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{3}$ に $x^{2}$ を掛けます。

タップして手順をさらに表示してください…

$x^{2}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 80 \cdot 672 (x^{2} x^{3}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 80 \cdot 672 x^{2 + 3} + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$2$ と $3$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 80 \cdot 672 x^{5} + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ に $672$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 \cdot 448 x^{3} x + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{3}$ に $x$ を掛けます。

タップして手順をさらに表示してください…

$x$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 \cdot 448 (x \cdot x^{3}) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$x$ に $x^{3}$ をかけます。

タップして手順をさらに表示してください…

$x$ を $1$ 乗します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 \cdot 448 (x^{1} x^{3}) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 \cdot 448 x^{1 + 3} + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$1$ と $3$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 \cdot 448 x^{4} + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ に $448$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$128$ に $80$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{2}$ に $x^{7}$ を掛けます。

タップして手順をさらに表示してください…

$x^{7}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 (x^{7} x^{2}) + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{7 + 2} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$7$ と $2$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 160 \cdot 14 x^{2} x^{6} + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{2}$ に $x^{6}$ を掛けます。

タップして手順をさらに表示してください…

$x^{6}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 160 \cdot 14 (x^{6} x^{2}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 160 \cdot 14 x^{6 + 2} + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$6$ と $2$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 160 \cdot 14 x^{8} + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ に $14$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 160 \cdot 84 x^{2} x^{5} + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{2}$ に $x^{5}$ を掛けます。

タップして手順をさらに表示してください…

$x^{5}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 160 \cdot 84 (x^{5} x^{2}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 160 \cdot 84 x^{5 + 2} + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$5$ と $2$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 160 \cdot 84 x^{7} + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ に $84$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 160 \cdot 280 x^{2} x^{4} + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{2}$ に $x^{4}$ を掛けます。

タップして手順をさらに表示してください…

$x^{4}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 160 \cdot 280 (x^{4} x^{2}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 160 \cdot 280 x^{4 + 2} + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$4$ と $2$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 160 \cdot 280 x^{6} + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ に $280$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 160 \cdot 560 x^{2} x^{3} + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{2}$ に $x^{3}$ を掛けます。

タップして手順をさらに表示してください…

$x^{3}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 160 \cdot 560 (x^{3} x^{2}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 160 \cdot 560 x^{3 + 2} + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$3$ と $2$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 160 \cdot 560 x^{5} + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ に $560$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 160 \cdot 672 x^{2} x^{2} + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{2}$ に $x^{2}$ を掛けます。

タップして手順をさらに表示してください…

$x^{2}$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 160 \cdot 672 (x^{2} x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 160 \cdot 672 x^{2 + 2} + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$2$ と $2$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 160 \cdot 672 x^{4} + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ に $672$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

積の可換性を利用して書き換えます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 \cdot 448 x^{2} x + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

指数を足して $x^{2}$ に $x$ を掛けます。

タップして手順をさらに表示してください…

$x$ を移動させます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 \cdot 448 (x \cdot x^{2}) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$x$ に $x^{2}$ をかけます。

タップして手順をさらに表示してください…

$x$ を $1$ 乗します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 \cdot 448 (x^{1} x^{2}) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

べき乗則 $a^{m} a^{n} = a^{m + n}$ を利用して指数を組み合わせます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 \cdot 448 x^{1 + 2} + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$1$ と $2$ をたし算します。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 \cdot 448 x^{3} + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ に $448$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$128$ に $160$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$14$ に $- 256$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$84$ に $- 256$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$280$ に $- 256$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$560$ に $- 256$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$672$ に $- 256$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 256 (448 x) - 256 \cdot 128$

$448$ に $- 256$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 256 \cdot 128$

$- 256$ に $128$ をかけます。

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

項を加えて簡約します。

タップして手順をさらに表示してください…

$14 x^{11}$ と $15 x^{11}$ をたし算します。

$x^{12} + 29 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$84 x^{10}$ と $210 x^{10}$ をたし算します。

$x^{12} + 29 x^{11} + 294 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$294 x^{10}$ と $80 x^{10}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$280 x^{9}$ と $1260 x^{9}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 1540 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$1540 x^{9}$ と $1120 x^{9}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2660 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$2660 x^{9}$ と $160 x^{9}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$560 x^{8}$ と $4200 x^{8}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 4760 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$4760 x^{8}$ と $6720 x^{8}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 11480 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$11480 x^{8}$ と $2240 x^{8}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$672 x^{7}$ と $8400 x^{7}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 9072 x^{7} + 448 x^{6} + 128 x^{5} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$9072 x^{7}$ と $22400 x^{7}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 31472 x^{7} + 448 x^{6} + 128 x^{5} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$31472 x^{7}$ と $13440 x^{7}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44912 x^{7} + 448 x^{6} + 128 x^{5} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$44912 x^{7}$ から $256 x^{7}$ を引きます。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 448 x^{6} + 128 x^{5} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$448 x^{6}$ と $10080 x^{6}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 10528 x^{6} + 128 x^{5} + 6720 x^{5} + 1920 x^{4} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$10528 x^{6}$ と $44800 x^{6}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 55328 x^{6} + 128 x^{5} + 6720 x^{5} + 1920 x^{4} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$55328 x^{6}$ と $44800 x^{6}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 100128 x^{6} + 128 x^{5} + 6720 x^{5} + 1920 x^{4} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$100128 x^{6}$ から $3584 x^{6}$ を引きます。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128 x^{5} + 6720 x^{5} + 1920 x^{4} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$128 x^{5}$ と $6720 x^{5}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 6848 x^{5} + 1920 x^{4} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$6848 x^{5}$ と $53760 x^{5}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 60608 x^{5} + 1920 x^{4} + 35840 x^{4} + 10240 x^{3} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$60608 x^{5}$ と $89600 x^{5}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 150208 x^{5} + 1920 x^{4} + 35840 x^{4} + 10240 x^{3} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$150208 x^{5}$ から $21504 x^{5}$ を引きます。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 1920 x^{4} + 35840 x^{4} + 10240 x^{3} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$1920 x^{4}$ と $35840 x^{4}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 37760 x^{4} + 10240 x^{3} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$37760 x^{4}$ と $107520 x^{4}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 145280 x^{4} + 10240 x^{3} + 71680 x^{3} + 20480 x^{2} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$145280 x^{4}$ から $71680 x^{4}$ を引きます。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 73600 x^{4} + 10240 x^{3} + 71680 x^{3} + 20480 x^{2} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$10240 x^{3}$ と $71680 x^{3}$ をたし算します。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 73600 x^{4} + 81920 x^{3} + 20480 x^{2} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$81920 x^{3}$ から $143360 x^{3}$ を引きます。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 73600 x^{4} - 61440 x^{3} + 20480 x^{2} - 172032 x^{2} - 114688 x - 32768$

$20480 x^{2}$ から $172032 x^{2}$ を引きます。

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 73600 x^{4} - 61440 x^{3} - 151552 x^{2} - 114688 x - 32768$

Step 2

最大指数は多項式の次数です。

$12$

代数 例

代数例