3x平方+4xy+y平方-5x-3y+2因式分解

学习 时间:2026-04-02 19:07:58 阅读:3141
3x平方+4xy+y平方-5x-3y+2因式分解

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鲤鱼鼠标

寒冷的蜡烛

2026-04-02 19:07:58

3x^2+4xy+y^2-5x-3y+2
=(3x^2+4xy+y^2)-5x-3y+2
=(3x+y)(x+y)-(3x+y)-2x-2y+2
=[(3x+y)(x+y)-(3x+y)]-2(x+y-1)
=(3x+y)(x+y-1)-2(x+y-1)
=(x+y-1)(3x+y-2)

最新回答共有2条回答

  • 失眠的钢笔
    回复
    2026-04-02 19:07:58

    3x^2+4xy+y^2-5x-3y+2=(3x^2+4xy+y^2)-5x-3y+2=(3x+y)(x+y)-(3x+y)-2x-2y+2=[(3x+y)(x+y)-(3x+y)]-2(x+y-1)=(3x+y)(x+y-1)-2(x+y-1)=(x+y-1)(3x+y-2)

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