QuestionPerform the indicated operation of addition on the two rational expressions and reduce your answer to lowest terms. $$\frac{3 x^{2}}{r^{2}-4}+\frac{4}{r+7}$$

Studdy Solution
Simplify the resulting expression to its lowest terms. The expression is:
$$\frac{3x^2r + 4r^2 + 21x^2 - 16}{(r - 2)(r + 2)(r + 7)}$$
Check for any common factors in the numerator and denominator. If none exist, the expression is already in its simplest form.
The simplified expression is:
$$\frac{3x^2r + 4r^2 + 21x^2 - 16}{(r - 2)(r + 2)(r + 7)}$$