4（2x^2-x+1)(x^2-2x+3)-(3x^2-3x+4)^2 换元法因式分解4（2x^2-x+1)(x^2-2x+3)-_数学解答

4（2x^2-x+1)(x^2-2x+3)-(3x^2-3x+4)^2 换元法因式分解
4（2x^2-x+1)(x^2-2x+3)-(3x^2-3x+4)^2
换元法因式分解

人气：439 ℃　时间：2020-04-24 06:57:14

解答

令a=2x²-x+1b=x²-2x+3则3x²-3x+4=a+b所以原式=4ab-(a+b)²=4ab-a²-2ab-b²=-(a²-2ab+b²)=-(a-b)²=-(2x²-x+1-x²+2x-3)²=-(x²+x-2)²=-(x-1)...请采纳哦～
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