Question

Which of the following is the product of the rational expressions shown below x+2/x-4•3x/x+4

Answer 1

definitely 3x^2+6x/x^2-16

Explanation:

just took the quiz

Answer 2

Final answer is
`(3x^2+6x)/(x^2-16)`.

Explanation:

Given rational expressions are
`(x+2)/(x-4)` and
`(3x)/(x+4)`.

Now we need to find about what is the product of given rational expressions.

to multiply the rational expressions, we simply multiply numerator with numerator. Then multiply denominator with denominator.

`(x+2)/(x-4)\cdot(3x)/(x+4)`

`=(\left(x+2\right)\cdot3x)/(\left(x-4\right)\cdot\left(x+4\right))`

`=(3x^2+6x)/(x^2+4x-4x-16)`

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

Hence final answer is
`(3x^2+6x)/(x^2-16)`.