因式分解(x+y)^3+2xy-2x^2y-2xy^2-1

来源：学生作业帮编辑：搜狗做题网作业帮分类：数学作业时间：2024/04/28 15:23:56

(x+y)^3+2xy-2x^2y-2xy^2-1
=(x+y)^3-1+2xy-2xy(x+y)+2xy-1
=(x+y-1)[(x+y)²+(x+y)+1]-2xy(x+y-1)
=(x+y-1)(x²+2xy+y²+x+y+1-2xy)
=(x+y-1)(x²+y²+x+y+1)
再问：貌似..错了吧.. (x+y)^3+2xy-2x^2y-2xy^2-1==(x+y)^3-1+2xy-2xy(x+y)+2xy-1吗?
再答：多写了一个2xy-1，是抄错的 (x+y)^3+2xy-2x^2y-2xy^2-1 =(x+y)^3-1+2xy-2xy(x+y) =(x+y-1)[(x+y)²+(x+y)+1]-2xy(x+y-1) =(x+y-1)(x²+2xy+y²+x+y+1-2xy) =(x+y-1)(x²+y²+x+y+1)

y^3+xy^2+2xy+x^2-1 因式分解（xy-x-y+1)^2因式分解因式分解xy+y平方+x-y-2 因式分解xy²-2xy+x+2y-1 因式分解(x+y)^3+2xy(1-xx-y)-1 因式分解：x×x-xy-2y×y-x-y 因式分解 x^2-2xy-3y^2+x+y x^2+x^2y-xy^2-y^3因式分解 2x²-xy+3x-y+1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