4(2x^2-x+1)(x^2-2x+3)-(3x^2-3x+4)^2因式分解详细过程
问题描述:
4(2x^2-x+1)(x^2-2x+3)-(3x^2-3x+4)^2因式分解详细过程
答
4(2x^2-x+1)(x^2-2x+3)-(3x^2-3x+4)^2=4(2x^2-x+1)(x^2-2x+3)-[(2x^2-x+1)+(x^2-2x+3)]^2=4(2x^2-x+1)(x^2-2x+3)-(2x^2-x+1)^2-(x^2-2x+3)^2-2(2x^2-x+1)(x^2-2x+3)=-(2x^2-x+1)^2-(x^2-2x+3)^2+2(2x^2-x+1)(x^2-2x+...