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因式分解是初中数学的重要内容之一。因式分解题目千变万化,方法灵活多样,现举几例供同学们参考。例1分解因式(x2-2xy+y2)+(-2x+2y)+1.分析:若此题展开,这太复杂了。通过观察题目特点可将原式变形为(x-y)2-2(x-y)+1这样就易于分解了。解:原式=(x-y)2-2(x-y)+1=[(x-y)-1]2=(x-y-
Factorization is one of the important contents of junior high school mathematics. Decomposition problems are ever-changing and the methods are flexible. Now we give a few examples for students’ reference. Case 1 Decomposition Factor (x2-2xy+y2)+(-2x+2y)+1. Analysis: If this problem expands, this is too complicated. By observing the characteristics of the subject, it can be transformed into (x-y)2-2(x-y)+1 so that it can be easily decomposed. Solution: Original = (x-y) 2-2(x-y)+1=[(x-y)-1]2=(x-y-