因式分解:(a+2b)^2 + (a-2b)^2 - 2(a^2 - 4b^2)
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因式分解:(a+2b)^2 + (a-2b)^2 - 2(a^2 - 4b^2)
![因式分解:(a+2b)^2 + (a-2b)^2 - 2(a^2 - 4b^2)](/uploads/image/z/7097426-26-6.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%3A%28a%2B2b%29%5E2+%2B+%28a-2b%29%5E2+-+2%28a%5E2+-+4b%5E2%29)
(a+2b)^2 + (a-2b)^2 - 2(a^2 - 4b^2)
=(a+2b)^2 + (a-2b)^2 - 2(a+ 2b)(a-2b)
=[a+2b-(a-2b)]^2
=16b^2
=(a+2b)^2 + (a-2b)^2 - 2(a+ 2b)(a-2b)
=[a+2b-(a-2b)]^2
=16b^2