因式分解:x^3+3x-4,4x^2+2x-y-y^2

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 13:26:30
因式分解:x^3+3x-4,4x^2+2x-y-y^2因式分解:x^3+3x-4,4x^2+2x-y-y^2因式分解:x^3+3x-4,4x^2+2x-y-y^2x^3+3x-4=x^3+(x^2-x

因式分解:x^3+3x-4,4x^2+2x-y-y^2
因式分解:x^3+3x-4,4x^2+2x-y-y^2

因式分解:x^3+3x-4,4x^2+2x-y-y^2
x^3+3x-4
=x^3 + (x^2 - x^2) + (4 x - x) - 4
=x^3 + x^2 + 4 x - x^2 - x - 4
= (x^2 + x + 4) x - (x^2 + x + 4)
= (x^2 + x + 4)(x -1)
4 x^2 + 2 x - y - y^2
=4 x^2 - y^2 +(2 x - y)
=(2 x + y)(2 x - y)+(2 x - y)
=(2 x + y + 1)(2 x - y)