设A=5x2+4x-1,B=-x2-3x+3,C=8-7x-6x2,请说明A-B+C的值与x的取值无关.
问题描述:
设A=5x2+4x-1,B=-x2-3x+3,C=8-7x-6x2,请说明A-B+C的值与x的取值无关.
答
A-B+C=(5x2+4x-1)-(-x2-3x+3)+(8-7x-6x2)
=5x2+4x-1+x2+3x-3+8-7x-6x2
=4,
∵4是常数,不含x的式子,
∴A-B+C的值与x的取值无关.