把下列各式分解因式:(1)(x^2-6x)^2+18x(x-6)+81 (2)(3x-2y)^2-2(3x-2y)(2x-y)+(2x+y)^2-6(x-y)+9
问题描述:
把下列各式分解因式:(1)(x^2-6x)^2+18x(x-6)+81 (2)(3x-2y)^2-2(3x-2y)(2x-y)+(2x+y)^2-6(x-y)+9
答
1)(x^2-6x)^2+18x(x-6)+81 =(x²-6x+9)²=(x-3)的4次方(2)(3x-2y)^2-2(3x-2y)(2x-y)+(2x-y)^2-6(x-y)+9=(3x-2y-2x+y)²-6(x-y)+9=(x-y)²-6(x-y)+9=(x-y-3)²