Answer
$x-7$
Work Step by Step
Adding the numerators, copying the denominator, and then cancelling the common factor between the numerator and the denominator result to
\begin{array}{l}
\dfrac{x^2}{x+7}-\dfrac{49}{x+7}
\\\\=
\dfrac{x^2-49}{x+7}
\\\\=
\dfrac{(x+7)(x-7)}{x+7}
\\\\=
x-7
.\end{array}
