a(x-y)(x+y)-b(y-x)(x+y)-c(x-y)^2(y+x)提取公因式_其他解答

a(x-y)(x+y)-b(y-x)(x+y)-c(x-y)^2(y+x)提取公因式

人气：195 ℃　时间：2020-02-05 16:33:21

解答

原式=(x^2-y^2)a-(x^2-y^2)b-(x^2-y^2)(x-y)c
=(x^2-y^2)(a-b-cx-cy)
=(x+y)(x-y)(a-b-cx-cy)