數學問題　　　快！！！

2006-12-01 5:28 am

factorize the expression
(a+b)^2-4(a-b)^2=?

回答 (4)

2006-12-01 5:32 am

✔ 最佳答案

(a+b)^2-4(a-b)^2
=(a+b)^2-[2(a-b)]^2
={(a+b)-[2(a-b)]}{(a+b)+[2(a-b)]}
=(3b-a)(3a-b)

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2006-12-01 5:41 am

(a+b)^2 - 4(a-b)^2
= (a+b)^2 - [2(a-b)]^2
= (a+b+2a-2b)(a+b-2a+2b)
= (3a-b)(3b-a)
= 9ab+3a^2-3b^2+ab
=10ab+3a^2-3b^2

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2006-12-01 5:38 am

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

參考: 自己計

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2006-12-01 5:35 am

-3a^2+10ab-3b^2

參考: hope that can help you,and please chose me as the best answer

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