Exercise
$\frac{x^2-4}{x-1}$
Step-by-step Solution
1
Divide $x^2-4$ by $x-1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{\phantom{;}x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}\phantom{;}x^{2}\phantom{-;x^n}-4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{-x^{2}+x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{2}+x\phantom{;};}\phantom{;}x\phantom{;}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{-x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;-x\phantom{;}+1\phantom{;}\phantom{;}-;x^n;}-3\phantom{;}\phantom{;}\\\end{array}$
Final answer to the exercise
$x+1+\frac{-3}{x-1}$