MATH SOLVE

2 months ago

Q:
# Which of the following is the product of the rational expressions shown below x+2/x-4β’3x/x+4

Accepted Solution

A:

Answer:Final answer is [tex]\frac{3x^2+6x}{x^2-16}[/tex].Step-by-step explanation:Given rational expressions are [tex]\frac{x+2}{x-4}[/tex] and [tex]\frac{3x}{x+4}[/tex].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.[tex]\frac{x+2}{x-4}\cdot\frac{3x}{x+4}[/tex][tex]=\frac{\left(x+2\right)\cdot3x}{\left(x-4\right)\cdot\left(x+4\right)}[/tex][tex]=\frac{3x^2+6x}{x^2+4x-4x-16}[/tex][tex]=\frac{3x^2+6x}{x^2-16}[/tex]Hence final answer is [tex]\frac{3x^2+6x}{x^2-16}[/tex].