Question

Answer 1

\(\dfrac{4x}{x^2-25}+\dfrac{3}{x+5}-\dfrac{2}{x-5}=\dfrac{4x}{\left(x+5\right)\left(x-5\right)}+\dfrac{3}{x+5}-\dfrac{2}{x-5}\)

\(=\dfrac{4x+3x-15-2x-10}{\left(x+5\right)\left(x-5\right)}=\dfrac{5x-25}{\left(x+5\right)\left(x-5\right)}=\dfrac{5}{x+5}\)

Answer 2

1: \(=\dfrac{4x+3x-15-2x-10}{\left(x-5\right)\left(x+5\right)}=\dfrac{5x-25}{\left(x-5\right)\left(x+5\right)}=\dfrac{5}{x+5}\)

2: |A|=A

=>A>=0

=>5/x+5>=0

=>x+5>0

=>x>-5