化简求值:2x^3y^2{xy(1-x)-2x(y-1/2)}+2x^4y^3(x+1)其中x^2y=-1/4

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化简求值:2x^3y^2{xy(1-x)-2x(y-1/2)}+2x^4y^3(x+1)其中x^2y=-1/4

化简求值:2x^3y^2{xy(1-x)-2x(y-1/2)}+2x^4y^3(x+1)其中x^2y=-1/4
化简求值:2x^3y^2{xy(1-x)-2x(y-1/2)}+2x^4y^3(x+1)其中x^2y=-1/4

化简求值:2x^3y^2{xy(1-x)-2x(y-1/2)}+2x^4y^3(x+1)其中x^2y=-1/4
答:
2x^3y^2{xy(1-x)-2x(y-1/2)}+2x^4y^3(x+1)
=2x³y² [xy(1-x)-2x(y-1/2) ]+2(x^4)y³(x+1)
=2(x²y)² (y-xy-2y+1) +2 (x²y)²(xy+y)
=2*(-1/4)²(-xy-y+1+xy+y)
=2/16
=1/8