字典翻译 问答 小学 数学 因式分解练习题6x^2-7xy-3y^2-xz+7yz-2z^22x^4-x^3-6x^2-x+2(x+1)^4+(x+3)^4-272xy(xy+1)+(xy+3)-2(x+y+0.85)-(x+y-1)^2x^3+8y^3-z^3+6xyzx^2+5xy+6y^2+8x+18y+12x^2+2xy-8y^2+2x+14y-3
问题标题:
因式分解练习题6x^2-7xy-3y^2-xz+7yz-2z^22x^4-x^3-6x^2-x+2(x+1)^4+(x+3)^4-272xy(xy+1)+(xy+3)-2(x+y+0.85)-(x+y-1)^2x^3+8y^3-z^3+6xyzx^2+5xy+6y^2+8x+18y+12x^2+2xy-8y^2+2x+14y-3
问题描述:

因式分解练习题

6x^2-7xy-3y^2-xz+7yz-2z^2

2x^4-x^3-6x^2-x+2

(x+1)^4+(x+3)^4-272

xy(xy+1)+(xy+3)-2(x+y+0.85)-(x+y-1)^2

x^3+8y^3-z^3+6xyz

x^2+5xy+6y^2+8x+18y+12

x^2+2xy-8y^2+2x+14y-3

陈会勇回答:
  1.6X^2-7xy-3y^2-xz+7yz-2z^2=(3x+y-2z)(2x-3y+z)2.(2x-1)(x^3-3x-2)=(2x-1)[x(x-2)(x+2)+(x-2)]=(2x-1)(x-2)(x^2+2x+1)=(2x-1)(x-2)(x+1)^23.(x+1)^4+(x+3)^4-272=(x+3)^4-4^4+(x+1)^4-2^4(平方差)=[(...
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