因式分解:25(a-2b)²-(a+b)²

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因式分解:25(a-2b)²-(a+b)²
因式分解:25(a-2b)²-(a+b)²

因式分解:25(a-2b)²-(a+b)²
=(5a-10b)²-(a+b)²

25(a-2b)²-(a+b)²
=5² (a-2b)²-(a+b)²
=(5a-10b)²-(a+b)²
=(5a-10b+a+b)(5a-10b-a-b)
=(6a-9b)(4a-11b)

原式=5²(a-2b)²-(a+b)²=(5a-10b)²-(a+b)²=(4a-11b)(6a-9b)