题目内容
26、分解因式:3(x+y)(x-y)-(x-y)2.
分析:首先找出各项的公公因式,提取公因式后再合并同类项即可得出答案.
解答:解:原式=(x-y)[3(x+y)-(x-y)](2分),
=(x-y)(3x+3y-x+y)(3分),
=(x-y)(2x+4y)(4分),
=2(x-y)(x+2y)(5分).
=(x-y)(3x+3y-x+y)(3分),
=(x-y)(2x+4y)(4分),
=2(x-y)(x+2y)(5分).
点评:此题主要考查了提取公因式因式分解,找出公因式是解决问题的关键.
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