已知|M+4|+n^2-2n+1=0 把多项式(x²+4y²)-(mxy+n)分解因式

问题描述:

已知|M+4|+n^2-2n+1=0 把多项式(x²+4y²)-(mxy+n)分解因式
已知|m+4|+n^2-2n+1=0 把多项式(x²+4y²)-(mxy+n)分解因式

|M+4|+n^2-2n+1=0
|M+4|>=0,n^2-2n+1=(n-1)²>=0
M+4=n-1=0
m=-4,n=1
(x²+4y²)-(mxy+n)
=x²+4y²+4xy-1
=(x+2y)²-1
=(x+2y+1)(x+2y-1)