9(x+y)³-6(x+y)²+(x+y)分解因式

9(x+y)³-6(x+y)²+(x+y)分解因式
9(x+y)³-6(x+y)²+(x+y)分解因式

9(x+y)³-6(x+y)²+(x+y)分解因式
原式=(x+y)[9(x+y)²-6(x+y)+1]
=(x+y)[3(x+y)-1]²
=(x+y)(3x+3y-1)²

9(x+y)³-6(x+y)²+(x+y)分解因式
解，得：
==[9(x+y)^2-6(x+y)+1](x+y)
==[3(x+y)-1]^2(x+y)
==(3x+3y-1)^2(x+y)

原式=（x+y)[9（x+y)^2-6(x+y)+1]
=(x+y)(3x+3y-1)^2

9(x+y)³-6(x+y)²+(x+y)
=(x+y)[9(x+y)^2-6(x+y)+1]
=(x+y)(3x+3y-1)^2