Simplify the rational expression. state any restrictions on the variable. n4-10n^2+24/n^4-9n^2+18

ANSWER

For

EXPLANATION

We have

This is very easy to simplify. We shall look at the two expressions from a quadratic trinomial perspective.

We rewrite the rational expression to obtain;

We can now see that both the numerator and denominator are quadratic trinomials in .

We split the middle terms as follows;

We factor further to obtain;

We now cancel out common factors to get;

For

1. Factor expression

2. Factor expression

Note that

because this expression is placed in the denominator.

3. Now

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: