Sau khi rút gọn phân thức \(\dfrac{x^2y+2xy^2+y^3}{2x^2+xy-y^2}\), ta có kết quả là
\(\dfrac{y\left(x+y\right)}{2x-y}\).\(\dfrac{y\left(x+y\right)}{2x+y}\).\(\dfrac{y\left(x-y\right)}{2x-y}\).\(\dfrac{x-y}{2x-y}\).Hướng dẫn giải:\(\dfrac{x^2y+2xy^2+y^3}{2x^2+xy-y^2}=\dfrac{y\left(x^2+2xy+y^2\right)}{x^2+xy+x^2-y^22}\)\(=\dfrac{y\left(x+y\right)^2}{x\left(x+y\right)+\left(x-y\right)\left(x+y\right)}\)
\(=\dfrac{y\left(x+y\right)^2}{\left(x+y\right)\left(x+x-y\right)}\)\(=\dfrac{y\left(x+y\right)^2}{\left(x+y\right)\left(2x-y\right)}=\dfrac{y\left(x+y\right)}{2x-y}\).