用提取公因式:m(a-b)+n(b-a) 5(a-b)的2n次方x-(b-a)2n次方y x+y-(2x-y)(b-a) a(x+y)-2b(x+y)+3c(x+y)

问题描述:

用提取公因式:m(a-b)+n(b-a) 5(a-b)的2n次方x-(b-a)2n次方y x+y-(2x-y)(b-a) a(x+y)-2b(x+y)+3c(x+y)
(a-b)的2次方(a+b)的2次方-(b-a)的2次方(b+a)的2次方 2a(x+y-z)+3b(z-x-y) 2a(x+y-z)+3b(z-x-y)-c(x+y-z)
还有 m(a-b)+n(b-a) 5(a-b)的2n次方x-(b-a)2n次方y x+y-(2x-y)(b-a) a(x+y)-2b(x+y)+3c(x+y)

(a-b)²(a+b)²-(b-a)²(b+a)²
=(a-b)²(a+b)²-(a-b)²(a+b)²
=0
2a(x+y-z)+3b(z-x-y)
=2a(x+y-z)-3b(x+y-z)
=(x+y-z)(2a-3b)
2a(x+y-z)+3b(z-x-y)-c(x+y-z)
=2a(x+y-z)-3b(x+y-z)-c(x+y-z)
=(x+y-z)(2a-3b-c)