数学分式混合运算:(3x²/4y)² × 2y/3x+x²/2y²÷2y²/x

问题描述:

数学分式混合运算:(3x²/4y)² × 2y/3x+x²/2y²÷2y²/x

(3x^2/4y)^2*2y/3x+x^2/2y^2÷2y^2/x =9x^4/16y^2*2y/3x+x^2/2y^2*x/2y^2 =3x^3/8y+x^3/4y^4 =x^3/8y^4(3y^3+2)

原式=9x^4/16y²×2y/3x+x²/2y²×x/2y²
=3x³/8y+x³/4y^4
=(3x³y³+2x³)/(8y^4)