因数 48j^{10}+36j^8-8j^6+16j^2

解

因数

48 j^{10} + 36 j^{8} - 8 j^{6} + 16 j^{2}

4 j^{2} (12 j^{8} + 9 j^{6} - 2 j^{4} + 4)

解答ステップ

48 j^{10} + 36 j^{8} - 8 j^{6} + 16 j^{2}

指数の規則を適用する:

a^{b + c} = a^{b} a^{c}

j^{6} = j^{4} j^{2}

= 48 j^{8} j^{2} + 36 j^{6} j^{2} - 8 j^{4} j^{2} + 16 j^{2}

48

を書き換え

4 \cdot 12

36

を書き換え

4 \cdot 9

= 4 \cdot 12 j^{8} j^{2} + 4 \cdot 9 j^{6} j^{2} - 4 \cdot 2 j^{4} j^{2} + 4 \cdot 4 j^{2}

共通項をくくり出す

4 j^{2}

= 4 j^{2} (12 j^{8} + 9 j^{6} - 2 j^{4} + 4)