因式分解:mn(x²+y²)+xy(m²+n²)
问题描述:
因式分解:mn(x²+y²)+xy(m²+n²)
答
mn(x²+y²)+xy(m²+n²)
=mnx²+mny²+xym²+xyn²
=mnx²+xym²+mny²+xyn²
=xm(n+ym)+ny(my+n)
=(xm+ny)(n+ym)