问题:

【因式分解2x2-7xy-22y2-5x+35y-3x2-3xy-10y2+x+9y-2】

更新时间:2024-04-28 11:20:26

问题描述:

李忠民回答:

  2x^2-7xy-22y^2-5x+35y-3

  =(2x-11y)(x+2y)-5x+35y-3

  =(2x-11y)(x+2y)+(x+2y)-(6x-33y+3)

  =(x+2y)(2x-11+1)-3(2x-11y+1)

  =(2x-11y+1)(x+2y-3)

  x^2-3xy-10y^2+x+9y-2

  =(x+2y)(x-5y)+2x+4y-x+5y-2

  =(x+2y)(x-5y)+2(x+2y)-(x-5y+2)

  =(x+2y)(x-5y+2)-(x-5y+2)

  =(x+2y-1)(x-5y+2)

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