已知a+b=6,ab=4,求a²+b²与(a-b)²的值
问题描述:
已知a+b=6,ab=4,求a²+b²与(a-b)²的值
如题,最好的话加点解释
答
a+b=6,ab=4,求
a²+b²
=( a+b)² -2ab
= 6x6 - 2 x 4
= 36 - 8
= 28
(a-b)²
= ( a+b)² -4ab
= 6x6 - 4x 4
= 36 - 16
= 20