代数式16+m-{8m-[m-9-(3-6m)]}的值与m的取值无关,怎么说明?

问题描述:

代数式16+m-{8m-[m-9-(3-6m)]}的值与m的取值无关,怎么说明?

∵16+m-{8m-[m-9-(3-6m)]}
=16+m-[8m-(m-9-3+6m)]
=16+m-(8m-7m+12)
=16+m-m-12
=4
∴代数式16+m-{8m-[m-9-(3-6m)]}的值与m的取值无关