a: Ta có: \(A=\dfrac{x^2}{5x+25}+\dfrac{2x-10}{x}+\dfrac{5x+50}{x^2+5x}\)
\(=\dfrac{x^2}{5\left(x+5\right)}+\dfrac{2x-10}{x}+\dfrac{5x+50}{x\left(x+5\right)}\)
\(=\dfrac{x^2}{5\left(x+5\right)}+\dfrac{2\left(x^2-25\right)+5x+50}{x\left(x+5\right)}\)
\(=\dfrac{x^2}{5\left(x+5\right)}+\dfrac{2x^2+5x}{x\left(x+5\right)}\)
\(=\dfrac{x^2}{5\left(x+5\right)}+\dfrac{2x+5}{x+5}\)
\(=\dfrac{x^2}{5\left(x+5\right)}+\dfrac{2x^2+5x}{5\left(x+5\right)}\)
\(=\dfrac{3x^2+5x}{5\left(x+5\right)}\)
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