3x平方+4xy+y平方-5x-3y+2因式分解

学习 时间:2026-10-22 12:38:41 阅读:4332
3x平方+4xy+y平方-5x-3y+2因式分解

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2026-10-22 12:38:41

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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  • 怕孤单的麦片
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    2026-10-22 12:38:41

    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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