分解因式x(x-y)(a-b)-y(y-x)(b-a)化简计算:已知2x-y=0.5,xy=2,求2x^4y^3-x^3y^4的值

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分解因式x(x-y)(a-b)-y(y-x)(b-a)化简计算:已知2x-y=0.5,xy=2,求2x^4y^3-x^3y^4的值分解因式x(x-y)(a-b)-y(y-x)(b-a)化简计算:已知2

分解因式x(x-y)(a-b)-y(y-x)(b-a)化简计算:已知2x-y=0.5,xy=2,求2x^4y^3-x^3y^4的值
分解因式
x(x-y)(a-b)-y(y-x)(b-a)
化简计算:已知2x-y=0.5,xy=2,求2x^4y^3-x^3y^4的值

分解因式x(x-y)(a-b)-y(y-x)(b-a)化简计算:已知2x-y=0.5,xy=2,求2x^4y^3-x^3y^4的值
原式=x(x-y)(a-b)-y(x-y)(a-b)
=(x-y)(x-y)(a-b)
=(x-y)^2(a-b)
原式=x^3y^3(2x-y)=(xy)^3(2x-y)=2^3*0.5=8*0.5=4

x(x-y)(a-b)-y(y-x)(b-a)=x(x-y)(a-b)-y(x-y)(a-b)=(x-y)^2(a-b)
2x^4y^3-x^3y^4=x^3y^3(2x-y)=(xy)^3(2x-y)=8*0.5=4
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1.x(x-y)(a-b)-y(y-x)(b-a)
=x(x-y)(a-b)-y(x-y)(a-b)
=(x-y)(x-y)(a-b)
=(x-y)^2(a-b)

2. =(x-y)²(a-b) 2x^4y^3-x^3y^4=x^3 y^3(2x-y)=(xy)^3(2x-y)=8×0.5=4

x(x-y)(a-b)-y(y-x)(b-a)=x(x-y)(a-b)+y(x-y)(b-a)=x(x-y)(a-b)-y(x-y)(a-b)=(x-y)^2(a-b)
2x^4y^3-x^3y^4=x^3y^3(2x-y)=(xy)^3(2x-y)=2^3乘以0.5=4