Medal and fan for two Algebra 2 questions.
I'll do the math, just walk me through the steps?

Simplify the rational expression and list any restrictions on the variable.

n^4-11n^2+30/n^4-7n^2+10

Question

Medal and fan for two Algebra 2 questions.
I'll do the math, just walk me through the steps?

Simplify the rational expression and list any restrictions on the variable. 

n^4-11n^2+30/n^4-7n^2+10

stamp · Answer

$$\frac{n^4-11n^2+30}{n^4-7n^2+10}$$

stamp · Answer

$$n^4-11n^2+30=n^4-5n^2-6n^2+30=n^2(n^2-5)-6(n^2-5)=$$$$(n^2-6)(n^2-5)$$

stamp · Answer

Factor the bottom$$n^4-7n^2+10=(n^2-5)(n^2-2)$$

stamp · Answer

$$\frac{(n^2-6)(n^2-5)}{(n^2-5)(n^2-2)}=\frac{n^2-6}{n^2-2}$$

anonymous · Answer

So you.. factored yeah?

stamp · Answer

Solve for the restricted variable$$n^2-2=0$$$$n^2=2$$$$n=\sqrt{2},-\sqrt{2}$$

n cannot be root 2 or - root 2

stamp · Answer

Yes.

Factor the top, factor the bottom, and cancel out common terms.