若(-7m+A)(4n+B)=16n2-49m2,则A=_,B=_.

问题描述:

若(-7m+A)(4n+B)=16n2-49m2,则A=______,B=______.

∵(-7m+A)(4n+B)=16n2-49m2
∴16n2-49m2=(4n+7m)(4n-7m),
∴A=4n,B=7m,
故答案为:4n,7m.