请高手分解因式：1.（x+y)²-4(x+y-1) 2.(ax+by)²-(bx+ay)²
问题描述：
请高手分解因式：1.（x+y)²-4(x+y-1) 2.(ax+by)²-(bx+ay)²
答
怎么这么难啊
答
x2y2-4x-4y+4
答
1.（x+y)²-4(x+y-1)
=(x+y)²-4(x+y)+4
=(x+y-2)²
2.(ax+by)²-(bx+ay)²
=(ax+by+bx+ay)(ax+by-bx-ay)
=(a+b)(x+y)(x-y)(a-b)
答
1.(x+y-2)^2 2.(ax+by+bx+ay)(ax+by-bx-ay)=(a+b)(x+y)(a-b)(x-y)=(a^2-b^2)(x^2-y^2)
答
1. (x+y)²-4(x+y-1) =(x+y)²-4(x+y)+4=(x+y-2)²2. (ax+by)²-(bx+ay)²=(ax)²+(by)²+2abxy- (bx)²-(ay)²-2abxy=(ax)²-(ay)² - [(bx)²-(by)²]=a...