已知多项式A和B,A=(5m+1)x2+(3n-2)xy-3x+y,B=6x2-5mxy-2x-1,当A和B的差不含二次项时,求(-1)m-n[-m+n-(-n)3m]的值.

问题描述:

已知多项式A和B,A=(5m+1)x2+(3n-2)xy-3x+y,B=6x2-5mxy-2x-1,当A和B的差不含二次项时,求(-1)m-n[-m+n-(-n)3m]的值.

A-B=(5m+1)x2+(3n-2)xy-3x+y-(6x2-5mxy-2x-1)
=(5m+1)x2+(3n-2)xy-3x+y-6x2+5mxy+2x+1
=(5m-5)x2+(5m+3n-2)xy-x+y+1,
已知A和B的差不含二次项,
∴5m-5=0,5m+3n-2=0,
得:m=1,n=-1,
∴(-1)m-n[-m+n-(-n)3m]
=(-1)1-(-1)×[-1+(-1)-13×1]
=1×(-1-1-1)
=-3.