Question

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

Answer 1

Answer:

Final answer is $\frac{3x^2+6x}{x^2-16}$.

Step-by-step explanation:

Given rational expressions are $\frac{x+2}{x-4}$ and $\frac{3x}{x+4}$.

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.

$\frac{x+2}{x-4}\cdot\frac{3x}{x+4}$

$=\frac{\left(x+2\right)\cdot3x}{\left(x-4\right)\cdot\left(x+4\right)}$

$=\frac{3x^2+6x}{x^2+4x-4x-16}$

$=\frac{3x^2+6x}{x^2-16}$

Hence final answer is $\frac{3x^2+6x}{x^2-16}$.