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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決

因式分解請敎大大

Nov 24th 2014, 10:45

（1）4（x+1）^2+4（x+1）+1＝？

判斷上面這個多項式是不是一個完全平方式 a^2 +2ab +b^2

a^2＝〔2（x+1）〕^2

b^2＝（1）^2

我們的2ab也＝4（x+1），所以上式是和的完全平方式

解：

原式＝（2X+2+1）^2＝（2X+3）^2

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