若多项式(2x2+ax-y+6)-(2bx2-3x+5y-1)的值与字母x的取值无关,求多项式3(a2-2ab-b2)-(4a2+ab+b2)的值

问题描述:

若多项式(2x2+ax-y+6)-(2bx2-3x+5y-1)的值与字母x的取值无关,求多项式3(a2-2ab-b2)-(4a2+ab+b2)的值

(2x²+ax-y+6)-(2bx²-3x+5y-1)
=(2-2b)x²+(a+3)x-6y+7
所以 2-2b=0;a+3=0
所以b=1,a=-3
3(a²-2ab-b²)-(4a²+ab+b²)
=-a²-7ab-4b²
=-9+21-4
=8