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|+
=0,分解因式(x2+y2)-(mxy+n)
n-4
答
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).