因式分解:(x+y)(x^2+xy+y^2)-xy(y-x) 3(x-1)^2-18(x-1)+27
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因式分解:(x+y)(x^2+xy+y^2)-xy(y-x) 3(x-1)^2-18(x-1)+27
题目是(1)
(x+y)(x^2+xy+y^2)-xy(y-x)
(2)
3(x-1)^2-18(x-1)+27
不小心打错了
题目是(1)
(x+y)(x^2+xy+y^2)-xy(y-x)
(2)
3(x-1)^2-18(x-1)+27
不小心打错了
![因式分解:(x+y)(x^2+xy+y^2)-xy(y-x) 3(x-1)^2-18(x-1)+27](/uploads/image/z/19178454-30-4.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%EF%BC%88x%2By%EF%BC%89%EF%BC%88x%5E2%2Bxy%2By%5E2%29-xy%28y-x%29+3%28x-1%29%5E2-18%28x-1%29%2B27)
(x+y)(x^2+xy+y^2)-xy(y-x)
=(x+y)(x^2+xy+y^2)+xy(x+y)
=(x+y)(x^2+xy+y^2+xy)
=(x+y)(x+y)^2
=(x+y)^3
3(x-1)^2-18(x-1)+27
=3[(x-1)^2-6(x-1)+9]
=3[(x-1)-3]^2
=3(x-4)^2
=(x+y)(x^2+xy+y^2)+xy(x+y)
=(x+y)(x^2+xy+y^2+xy)
=(x+y)(x+y)^2
=(x+y)^3
3(x-1)^2-18(x-1)+27
=3[(x-1)^2-6(x-1)+9]
=3[(x-1)-3]^2
=3(x-4)^2