已知关于x,y的多项式ax^+2xy-x于3x^-1/2bxy+3y的差不含二项式,则a^-2b=?

问题描述:

已知关于x,y的多项式ax^+2xy-x于3x^-1/2bxy+3y的差不含二项式,则a^-2b=?

ax^+2xy-x-(3x^-1/2bxy+3y)
=ax^+2xy-x-3x^+1/2bxy-3y
=(a-3)x^2+(2+1/2b)xy-x-3y
不含两项式,即
a-3=0,a=3
2+b/2=0,b=-4
a^2-2b
=9-2(-4)
=17