Exercise
$\frac{m^2-2}{m-7}$
Step-by-step Solution
1
Divide $m^2-2$ by $m-7$
$\begin{array}{l}\phantom{\phantom{;}m\phantom{;}-7;}{\phantom{;}m\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{;}m\phantom{;}-7\overline{\smash{)}\phantom{;}m^{2}\phantom{-;x^n}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}m\phantom{;}-7;}\underline{-m^{2}+7m\phantom{;}\phantom{-;x^n}}\\\phantom{-m^{2}+7m\phantom{;};}\phantom{;}7m\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-7-;x^n;}\underline{-7m\phantom{;}+49\phantom{;}\phantom{;}}\\\phantom{;-7m\phantom{;}+49\phantom{;}\phantom{;}-;x^n;}\phantom{;}47\phantom{;}\phantom{;}\\\end{array}$
Final answer to the exercise
$m+7+\frac{47}{m-7}$