试说明代数式(3a²-ab+2b²)-(a²-5ab+b²)-2(a²+2ab+b²)的值与a无关

问题描述:

试说明代数式(3a²-ab+2b²)-(a²-5ab+b²)-2(a²+2ab+b²)的值与a无关

a=0

(3a²-ab+2b²)-(a²-5ab+b²)-2(a²+2ab+b²)
=3a²-ab+2b²-a²+5ab-b²-2a²-4ab-2b²
=-b²
所以与a无关

(3a²-ab+2b²)-(a²-5ab+b²)-2(a²+2ab+b²)
=3a²-ab+2b²-a²+5ab-b²-2a²-4ab-2b²
=(3a²-a²-2a²)-ab+5ab-4ab+2b²-2b²-b²
=0+0-b²
=-b²

上式
=3a²-ab+2b²-a²+5ab-b²-2a²-4ab-2b²
=(3a²-a²-2a²)-(ab+5ab-4ab)+(2b²-b²-2b²)
=0-0-b²
=-b²