Question

multiply or divide show your work
11. 3n^2-n/n^2-1 divided by n^2/n+1

Answer 1

$\dfrac{3n^2-n}{n^2-1}\div\dfrac{n^2}{n+1}=\dfrac{n(3n-1)}{n^2-1^2}\cdot\dfrac{n+1}{n^2}=\dfrac{3n-1}{(n-1)(n+1)}\cdot\dfrac{n+1}{n}\\\\=\dfrac{3n-1}{n-1}\cdot\dfrac{1}{n}=\dfrac{3n-1}{n^2-n}$

$Used:\\\\a^2-b^2=(a-b)(a+b)$