x^3+3xy+y^3-1因式分解

来源：学生作业帮编辑：大师作文网作业帮分类：数学作业时间：2024/11/16 17:08:27

x^3+3xy+y^3-1因式分解

x³+3xy+y³-1
=x³+3x²y+3xy²+y³-3x²y-3xy²+3xy-1
=(x+y)³-1+3xy(1-x-y)
=(x+y-1)[(x+y)²+(x+y)+1]+3xy(1-x-y)
=(x+y-1)(x²-xy+y²+x+y+1)

y^3+xy^2+2xy+x^2-1 因式分解因式分解(x+y)^3+2xy(1-xx-y)-1 因式分解 3X^+6XY+3Y^ 因式分解x^3y-xy^3 2x²-xy+3x-y+1因式分解 2x2+xy-3y2+x+4y-1因式分解因式分解(x+y)^3+2xy-2x^2y-2xy^2-1 (x-y)²-(3x-3xy+y²)因式分解因式分解x^3+x^2y-xy^2-y^3 x^3-x^2y-xy^2+y^3因式分解因式分解x^3+x^2y-xy^2+y^3 x^2y+3xy^2-x-3y因式分解