展開する (2-2x-3x^2)^5

解

展開する

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

- 243 x^{10} - 810 x^{9} - 270 x^{8} + 1440 x^{7} + 840 x^{6} - 1232 x^{5} - 560 x^{4} + 640 x^{3} + 80 x^{2} - 160 x + 32

解答ステップ

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

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

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

拡張

(2 - 2 x - 3 x^{2}) (2 - 2 x - 3 x^{2}) (2 - 2 x - 3 x^{2}) (2 - 2 x - 3 x^{2}) (2 - 2 x - 3 x^{2}) : - 243 x^{10} - 810 x^{9} - 270 x^{8} + 1440 x^{7} + 840 x^{6} - 1232 x^{5} - 560 x^{4} + 640 x^{3} + 80 x^{2} - 160 x + 32

= - 243 x^{10} - 810 x^{9} - 270 x^{8} + 1440 x^{7} + 840 x^{6} - 1232 x^{5} - 560 x^{4} + 640 x^{3} + 80 x^{2} - 160 x + 32