Question

\(\frac{x^2+25y^2}{x^2-25y^2}-\frac{10xy}{x^2-25y^2}\)

Answer 1

\(\frac{x^2+25y^2-10xy}{x^2-25y^2}\)

\(\frac{\left(x-5y\right)^2}{\left(x-5y\right)\cdot\left(x+5y\right)}\)

\(\frac{x-5y}{x+5y}\)

Answer 2

đk:  \(x\ne\pm5y\)

\(\frac{x^2+25y^2}{x^2-25y^2}-\frac{10xy}{x^2-25y^2}\)

\(=\frac{x^2+25y^2-10xy}{\left(x-5y\right)\left(x+5y\right)}\)

\(=\frac{\left(x-5y\right)^2}{\left(x-5y\right)\left(x+5y\right)}\)

\(=\frac{x-5y}{x+5y}\)