展開する (2x+y^3-3)^5

解

展開する

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

32 x^{5} + 80 x^{4} y^{3} - 240 x^{4} + 80 x^{3} y^{6} - 480 x^{3} y^{3} + 720 x^{3} + 40 x^{2} y^{9} - 360 x^{2} y^{6} + 1080 x^{2} y^{3} - 1080 x^{2} + 10 x y^{12} - 120 x y^{9} + 540 x y^{6} - 1080 x y^{3} + 810 x + y^{15} - 15 y^{12} + 90 y^{9} - 270 y^{6} + 405 y^{3} - 243

解答ステップ

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

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

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

拡張

(2 x + y^{3} - 3) (2 x + y^{3} - 3) (2 x + y^{3} - 3) (2 x + y^{3} - 3) (2 x + y^{3} - 3) : 32 x^{5} + 80 x^{4} y^{3} - 240 x^{4} + 80 x^{3} y^{6} - 480 x^{3} y^{3} + 720 x^{3} + 40 x^{2} y^{9} - 360 x^{2} y^{6} + 1080 x^{2} y^{3} - 1080 x^{2} + 10 x y^{12} - 120 x y^{9} + 540 x y^{6} - 1080 x y^{3} + 810 x + y^{15} - 15 y^{12} + 90 y^{9} - 270 y^{6} + 405 y^{3} - 243

= 32 x^{5} + 80 x^{4} y^{3} - 240 x^{4} + 80 x^{3} y^{6} - 480 x^{3} y^{3} + 720 x^{3} + 40 x^{2} y^{9} - 360 x^{2} y^{6} + 1080 x^{2} y^{3} - 1080 x^{2} + 10 x y^{12} - 120 x y^{9} + 540 x y^{6} - 1080 x y^{3} + 810 x + y^{15} - 15 y^{12} + 90 y^{9} - 270 y^{6} + 405 y^{3} - 243