x^3+3x^2y+3y^2x-7y^3如何因式分解

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/17 02:48:51

x^3+3x^2y+3y^2x-7y^3
=x^3+3x^2y+3y^2x+y^3-8y^3
=(x+y)^3-(2y)^3
=(x+y-2y)[(x+y)^2+2y(x+y)+(2y)^2]
=(x-y)(x^2+2xy+y^2+2xy+2y^2+4y^2)
=(x-y)((x^2+4xy+7y^2)

(x-y)^2-(x-y)^3因式分解 (x+y)^2-3(x-y)因式分解因式分解3x^2(x-y)+6x(y-x) 3x-y^2 因式分解 6x(x-y)^2+3(y-x)^3 因式分解因式分解x(x-y)^2+2(x-y)^3 4x*3-4x*2y-(x-y)因式分解 4x^3-4x^2y-(x-y)因式分解 (3X-Y)^2-(2X+Y)^2-(Y+3X)(3X-Y) 因式分解因式分解(2x-3y)(x+y)+(3x-2y)(x+y) 因式分解 (1)6(x-y)^3-3y(y-x)^2 (2)x(x-y)(a-b)-y(y-x)( (x-y)^3-(x-y)^4 因式分解