Question

Express the sum in the simplest form 3x/x+5 + 7/x+5

Answer 1

(3x+7) / (x+5). ....................

Answer 2

Answer:

The sum of the given expression in simplest form is:

          $\dfrac{3x+7}{x+5}$

Step-by-step explanation:

We are asked to sum up two rational function.

The first rational function is:

$\dfrac{3x}{x+5}$

and the other i.e. second rational function is given by:

$\dfrac{7}{x+5}$

Now, on adding these two i.e.

$\dfrac{3x}{x+5}+\dfrac{7}{x+5}$

Since both the terms have the same denominator.

Hence, the denominator is taken as one and the quantities in the numerator are added up.

Hence, the expression is given by:

$\dfrac{3x}{x+5}+\dfrac{7}{x+5}=\dfrac{3x+7}{x+5}$