Question

What is the sum of the rational expressions below?3xХ+X+9 X-4O A.4x2-3xx2 +5X-36O B. 4x2-3x2x+5C.4x2x+5hosD.4xx2 +5x - 36

Answer 1

Given

`(3x)/(x+9)+(x)/(x-4)`

To find the sum of the rational expressions.

Step-by-step explanation:

It is given that,

`(3x)/(x+9)+(x)/(x-4)`

Then,

`\begin{gathered} (3x)/(x+9)+(x)/(x-4)=(3x(x-4)+x(x+9))/((x+9)(x-4)) \\ =(3x^2-12x+x^2+9x)/(x^2+9x-4x-36) \\ =(4x^2-3x)/(x^2+5x-36) \end{gathered}`

Hence, the answer is option A).