Question

\(\frac{5x^2-y^2}{xy}-\frac{3x-2y}{y}\)

Answer 1

\(\frac{5x^2-y^2}{xy}-\frac{3x-2y}{y}=\frac{5x^2-y^2}{xy}-\frac{3x^2-2xy}{xy}\)

\(=\frac{5x^2-y^2-3x^2+2xy}{xy}=\frac{2x^2+2xy-y^2}{xy}\)

Answer 2

\(\frac{5x^2-y^2}{xy}-\frac{3x-2y}{y}\left(Đk:x;y\ne0\right)\)

\(=\frac{5x^2-y^2}{xy}-\frac{3x^2-2xy}{xy}=\frac{5x^2-y^2-3x^2+2xy}{xy}\)

\(=\frac{2x^2+2xy-y^2}{xy}\)\(=\frac{x^2+\left(x+y\right)^2}{xy}\)