先化简再求值:已知2x+y=1/2,xy=2,求(x^3y^4-2x^4y^3)^3的值

问题描述:

先化简再求值:已知2x+y=1/2,xy=2,求(x^3y^4-2x^4y^3)^3的值

(x^3y^4-2x^4y^3)^3
=[ x³y³(y-2x)]³
=-[(xy)³]³ (2x-y)³
=-8³ ×1/8
=-64