a) \(\dfrac{x+3}{x+1}=\dfrac{\left(x+3\right)\left(x-1\right)}{\left(x+1\right)\left(x-1\right)}\)
\(\dfrac{2x-1}{x-1}=\dfrac{\left(2x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}\)
\(\dfrac{x+5}{x^2-1}=\dfrac{x+5}{\left(x-1\right)\left(x+1\right)}\)
b) \(\dfrac{3x+5}{x^2-5x}=\dfrac{\left(3x+5\right)\left(-5\right)}{-5x\left(x-5\right)}\)
\(\dfrac{25-x}{25-5x}=\dfrac{25-x}{5\left(5-x\right)}=\dfrac{\left(25-x\right)5}{-5x\left(x-5\right)}\)
c) \(\dfrac{1}{3x-2}=\dfrac{-1\left(2+3x\right)}{\left(2-3x\right)\left(2+3x\right)}\)
\(\dfrac{1}{3x+2}=\dfrac{2-3x}{\left(2+3x\right)\left(2-3x\right)}\)
\(\dfrac{3x-6}{4-9x^2}=\dfrac{3\left(x-2\right)}{\left(2-3x\right)\left(2+3x\right)}\)


