Divide the rational expression. Simplify.

Question

Quizplus · Accepted Answer

To divide rational expressions, we multiply the first expression by the reciprocal of the second expression. In this case, the reciprocal of (x^3 - 8)/(x^2 + 6x - 16) is (x^2 + 6x - 16)/(x^3 - 8). So we have:

((x^2 + 6x - 16)/(x^3 - 8)) / ((x^3 - 8)/(x^2 + 6x - 16))

= ((x^2 + 6x - 16)/(x^3 - 8)) * ((x^2 + 6x - 16)/(x^3 - 8))

= (x^2 + 6x - 16)^2 / (x^3 - 8)^2

Therefore, the answer is (A) 11ec19db_850f_f395_9dbe_5127c5fab29a_TBX8673_11 after simplification.

Divide the Rational Expression. Simplify