把代数式(a2-2ab+b2+5)(-a2+2ab-b2+5)写成(5+m)(5-m)的形式,并求出m.

问题描述:

把代数式(a2-2ab+b2+5)(-a2+2ab-b2+5)写成(5+m)(5-m)的形式,并求出m.

(a2-2ab+b2+5)(-a2+2ab-b2+5)
=[5+(a2-2ab+b2)][5-(a2-2ab+b2)]
即m=a2-2ab+b2