已知m、n满足|m+2|+n-4=0,分解因式(x2+y2)-(mxy+n)

问题描述:

已知m、n满足|m+2|+

n-4
=0,分解因式(x2+y2)-(mxy+n)

根据题意得,m+2=0,n-4=0,
解得m=-2,n=4,
∴(x2+y2)-(mxy+n),
=x2+y2+2xy-4,
=(x2+y2+2xy)-4,
=(x+y)2-22
=(x+y+2)(x+y-2).