求因式分解五道习题答案

2025-05-23 14:48:51
推荐回答(1个)
回答1:

(2a+b)²-(a-b)²
=(2a+b+a-b)(2a+b-a+b)
=(3a)(a+2b)
=3a(a+2b)

(x+y)²-10(x+y)+25
=(x+y-5)²

4a²-3b(4a-3b)
=4a²-12ab+9b²
=(2a-3b)²

(x²-5)²+2(x²-5)+1
=(x²-5+1)²
=(x²-4)²
=(x+2)²(x-2)²

(x²+y²)(x²+y2-4)+4
=(x²+y²)²-4(x²+y²)+4
=(x²+y²-2)²