因式分解:(a-b)^2+4(a^2-b^2)+4(a+b)^2

2024-12-03 05:32:27
推荐回答(2个)
回答1:

解:
(a-b)^2+4(a^2-b^2)+4(a+b)^2
=(a-b)²+2(a+b)[2(a-b)]+[2(a+b)]²
=(a-b)²+2(a+b)*[2a-2b+2a+2b)
=(a-b)²+8a(a+b)
=9a²+6ab+b²
=(3a+b)²

回答2:

:(a-b)^2+4(a^2-b^2)+4(a+b)^2
= (a-b+ 2a+2b) ²
= (3a +b) ²