求因式分解 (x+2)^3-1 (3a-b)(x-y)(a+3b)(x-y) (x+2)(x+4)+x^2-4 a^2b^2+2b-1
问题描述:
求因式分解 (x+2)^3-1 (3a-b)(x-y)(a+3b)(x-y) (x+2)(x+4)+x^2-4 a^2b^2+2b-1
答
(x+2)^3-1=[﹙x+2﹚-1][﹙x+2﹚²+﹙x+2﹚+1]=﹙x+2-1﹚﹙x²+4x+4+x+2+1﹚=﹙x+1﹚﹙x²+5x+7﹚(3a-b)(x-y)+(a+3b)(x-y) (是这个吗?)=(x-y)[(3a-b)+(a+3b)]=(x-y)﹙4a+2b﹚=2(x-y)...