因式分解(x+y)^2y^2-12(x+y)y^2+36y^2-y^4

问题描述:

因式分解(x+y)^2y^2-12(x+y)y^2+36y^2-y^4

解.(x+y)²y²-12(x+y)y²+36y²-y^4=y²[(x+y)²-12(x+y)+36]-y^4=y²[(x+y)-6]²-y^4=[y²+(x-6)y]²-(y²)²=[y²+(x-6)y+y²][y²+(x-6)y-y²...