若多项式2(x²-3xy-y²)-(x²-3mxy+2y²)中不含xy项,则m等于( )若多项式2(x²-3xy-y²)-(x²-3mxy+2y²)中不含xy项,则m等于( )

问题描述:

若多项式2(x²-3xy-y²)-(x²-3mxy+2y²)中不含xy项,则m等于( )
若多项式2(x²-3xy-y²)-(x²-3mxy+2y²)中不含xy项,则m等于( )

若多项式2(x²-3xy-y²)-(x²-3mxy+2y²)中不含xy项,则m等于(2 )

原式=2x²-6xy-2y²-x²+3mxy-2y²
=x²+(3m-6)xy-4y²
不含则系数为0
3m-6=0
m=2

多项式2(x²-3xy-y²)-(x²-3mxy+2y²)
=2x²-6xy-2y²-x²+3mxy-2y²
=x²+(3m-6)xy-4y²
∵不含xy项
∴3m-6=0
∴m=2