Question

*** I will give you a medal to help me ***
Simplify the rational expression. State any restrictions on the variable.
(n^4-11n^2+30)/(n^4-7n^2+10)

Answer 1

@tcarroll010

Answer 2

find factors
\[\huge \frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}\]
\[\huge \frac{(n^2-6)( \cancel{n^2-5)}}{(n^2-2)(\cancel{n^2-5})}\]
\[\huge \frac{n^2-6}{n^2-2}\]

Answer 3

what are the restrictions ?

Answer 4

\[n^2 \ne 2 \implies n \ne \sqrt{2}\]

Answer 5

\[n \ne \pm \sqrt{2}\]