展開する (2x^2-3x-20)^5

解

展開する

(2 x^{2} - 3 x - 20)^{5}

32 x^{10} - 240 x^{9} - 880 x^{8} + 8520 x^{7} + 11210 x^{6} - 122643 x^{5} - 112100 x^{4} + 852000 x^{3} + 880000 x^{2} - 2400000 x - 3200000

解答ステップ

(2 x^{2} - 3 x - 20)^{5}

(2 x^{2} - 3 x - 20)^{5} = (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20)

= (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20)

拡張

(2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20) (2 x^{2} - 3 x - 20) : 32 x^{10} - 240 x^{9} - 880 x^{8} + 8520 x^{7} + 11210 x^{6} - 122643 x^{5} - 112100 x^{4} + 852000 x^{3} + 880000 x^{2} - 2400000 x - 3200000

= 32 x^{10} - 240 x^{9} - 880 x^{8} + 8520 x^{7} + 11210 x^{6} - 122643 x^{5} - 112100 x^{4} + 852000 x^{3} + 880000 x^{2} - 2400000 x - 3200000