化简求值[xy(1-x)-2x(y-½)]*2x^3y^2+2x^4y^3(x+1)其中x=-1,y=½
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![化简求值[xy(1-x)-2x(y-½)]*2x^3y^2+2x^4y^3(x+1)其中x=-1,y=½](/uploads/image/z/3002606-62-6.jpg?t=%E5%8C%96%E7%AE%80%E6%B1%82%E5%80%BC%5Bxy%281-x%29-2x%28y-%26%23189%3B%29%5D%2A2x%5E3y%5E2%2B2x%5E4y%5E3%EF%BC%88x%2B1%EF%BC%89%E5%85%B6%E4%B8%ADx%3D-1%2Cy%3D%26%23189%3B)
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化简求值[xy(1-x)-2x(y-½)]*2x^3y^2+2x^4y^3(x+1)其中x=-1,y=½
化简求值[xy(1-x)-2x(y-½)]*2x^3y^2+2x^4y^3(x+1)其中x=-1,y=½
化简求值[xy(1-x)-2x(y-½)]*2x^3y^2+2x^4y^3(x+1)其中x=-1,y=½
[xy(1-x)-2x(y-½)]*2x^3y^2+2x^4y^3(x+1)
=(xy-x²y-2xy+x)×2x³y²+2x^5y³+2x^4y³
=-2x^4y³-2x^5y³+2x^4y²+2x^5y³+2x^4y³
=2x^4y²
当x=-1,y=1/2时
原式=2×(-1)^4(1/2)²=1/2
原式=(xy-x²y-2xy+x)*2x³y²+2x^5y³+2x^4y³
=-x^4y³-2x^5y³+2x^4y²+2x^5y³+2x^4y³
=x^4y³+2x^4y²
=1/8+1/4
=3/8
[xy(1-x)-2x(y-1/2)]*2x^3y^2+2x^4y^3(x+1)=[xy-x^2y-2xy+x]*2x^3y^2+2x^5y^3+2x^4y^3=[-xy-x^2y+x]*2x^3y^2+2x^5y^3+2x^4y^3=-2x^4y^3-2x^6y^3+2x^4y^2+2x^5y^3+2x^4y^3=2x^5y^3+2x^4y^3-2x^6y^3=2x^4y(xy^2+y^2-x^2y^2)
当x=-1,y=1/2时,原式=2*1*1/2(-1*1/4+1/4-1*1/4)=-1/4