因式分解：已知a+b=5,ab=3,求(a²-b²)²的值_数学解答

因式分解：已知a+b=5,ab=3,求(a²-b²)²的值

人气：335 ℃　时间：2020-06-21 16:35:52

解答

(a-b)²
=a²+b²-2ab
=(a+b)²-4ab
=5²-4x3
=25-12
=13
(a²-b²)²
=(a+b)²(a-b)²
=25x13
=325