因式分解(1) 16-24(a+b)+9(a+b)^2 (2) (x-y)^2-4(x-y-1) (3)m(x-y)^2-x+y (4) 9(a-b)^2-16(a+b)^2
问题描述:
因式分解(1) 16-24(a+b)+9(a+b)^2 (2) (x-y)^2-4(x-y-1) (3)m(x-y)^2-x+y (4) 9(a-b)^2-16(a+b)^2
答
1 原式=4^2-24(a+b)+[3(a+b)]^2
=[4-(a+b)]^2
2=(x-y)^2-4(x-y)+4
=[(x-y)-2]^2
3看不懂题
4=[3(a-b)]^2-[4(a+b)]^2
=[3(a-b)+4(a+b)][3(a-b)-4(a+b)]
=(7a+b)(-a-7b)