(x+1)4+(x2-1)2+(x-1)4=
问题描述:
(x+1)4+(x2-1)2+(x-1)4=
答
(x+1)^4+(x^2-1)^2+(x-1)^4 =(x+1)^4+(x+1)^2(x-1)^2+(x-1)^4 =[(x+1)^4+2(x+1)^2(x-1)^2+(x-1)^4]-(x+1)^2(x-1)^2 =(x +1+x-1)^2-(x^2-1)^2 =(2x)^2-(x^2-1)^2 =(2x+(x^2-1))(2x-(x^2-1)) =-(x^2+2x-1)(x^2-2x+1) =...