Answer
$\dfrac{x-6}{5x+1}+\dfrac{6}{(5x+1)^{2}}=\dfrac{x(5x-29)}{(5x+1)^{2}}$
Work Step by Step
$\dfrac{x-6}{5x+1}+\dfrac{6}{(5x+1)^{2}}$
Evaluate the sum of the two rational expressions and simplify:
$\dfrac{x-6}{5x+1}+\dfrac{6}{(5x+1)^{2}}=\dfrac{(x-6)(5x+1)+6}{(5x+1)^{2}}=...$ $...=\dfrac{5x^{2}-29x-6+6}{(5x+1)^{2}}=\dfrac{5x^{2}-29x}{(5x+1)^{2}}=...$
Take out common factor of $x$ in the numerator to provide a more simplified answer:
$...=\dfrac{x(5x-29)}{(5x+1)^{2}}$
