分解因式1.(a-b)x^2+9(b-a) 2.(x-y)(x-y+2)+1 3.x^2+2x-8 4.(x^2+4)^2-16x^2
问题描述:
分解因式1.(a-b)x^2+9(b-a) 2.(x-y)(x-y+2)+1 3.x^2+2x-8 4.(x^2+4)^2-16x^2
答
答:
1.原式
=(a-b)x^2-9(a-b)
=(a-b)(x^2-9)
=(a-b)(x+3)(x-3)
2.原式
=(x-y)^2+2(x-y)+1
=(x-y+1)^2
3.原式
=(x+4)(x-2)
4.原式
=(x^2+4+4x)(x^2+4-4x)
=(x+2)^2(x-2)^2