Question

\(\dfrac{5x+2}{x^2-10x}\)+\(\dfrac{5x-2}{x^2+10}\)=

Answer 1

Answer 2

\(\dfrac{5x+2}{x^2-10x}+\dfrac{5x-2}{x^2+10x}\)

\(=\dfrac{\left(5x+2\right)\left(x+10\right)}{x\left(x-10\right)\left(x+10\right)}+\dfrac{\left(5x-2\right)\left(x-10\right)}{x\left(x-10\right)\left(x+10\right)}\)

\(=\dfrac{5x^2+50x+2x+20+5x^2-50x-2x+20}{x\left(x-10\right)\left(x+10\right)}\)

\(=\dfrac{10x^2+40}{x\left(x-10\right)\left(x+10\right)}\)