ItamarV787287 ItamarV787287
  • 03-11-2022
  • Mathematics
contestada

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

Respuesta :

JenniJ21231 JenniJ21231
  • 03-11-2022

Given

[tex]\frac{3x}{x+9}+\frac{x}{x-4}[/tex]

To find the sum of the rational expressions.

Explanation:

It is given that,

[tex]\frac{3x}{x+9}+\frac{x}{x-4}[/tex]

Then,

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

Hence, the answer is option A).

Answer Link

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