已知x³=10-y³,x²y-xy²=-3,求代数式(x³-y³)(2x²y-4xy²)-2(-y³+xy²)的值.
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![已知x³=10-y³,x²y-xy²=-3,求代数式(x³-y³)(2x²y-4xy²)-2(-y³+xy²)的值.](/uploads/image/z/3996291-3-1.jpg?t=%E5%B7%B2%E7%9F%A5x%26%23179%3B%3D10-y%26%23179%3B%2Cx%26%23178%3By-xy%26%23178%3B%3D-3%2C%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8F%28x%26%23179%3B-y%26%23179%3B%29%282x%26%23178%3By-4xy%26%23178%3B%29-2%28-y%26%23179%3B%2Bxy%26%23178%3B%29%E7%9A%84%E5%80%BC.)
已知x³=10-y³,x²y-xy²=-3,求代数式(x³-y³)(2x²y-4xy²)-2(-y³+xy²)的值.
已知x³=10-y³,x²y-xy²=-3,求代数式(x³-y³)(2x²y-4xy²)-2(-y³+xy²)的值.
已知x³=10-y³,x²y-xy²=-3,求代数式(x³-y³)(2x²y-4xy²)-2(-y³+xy²)的值.
题目问的应该是(x^3-y^3)-(2x^2y-4xy^2)-2(-y^3+xy^2)的值x^3=10-y^3,x^2y-xy^2=-3
则x^3+y^3=10,x^2y-xy^2=-3
(x^3-y^3)-(2x^y-4xy^2)-2(-y^3+xy^2)
=x^3-y^3-2x^y+4xy^2+2y^3-2xy^2
=x^3+y^3-2x^y+2xy^2
=(x^3+y^3)-2(x^y-xy^2)
=10+6
=16