Question

What is the sum of the rational expressions below?

Answer 1

For this case we have that the fractions have the same denominator, then we can rewrite as:

$\frac {3x + 2 + (2x -5)} {x-1} =$

We eliminate the parenthesis:

$+*+=+$

$+*-=-$

$\frac {3x + 2 + 2x - 5} {x-1} =$

We add common terms of the numerator:

$\frac {5x-3} {x-1}$

Thus, the correct expression is option B.

Answer:

Option B

Answer 2

Answer: OPTION B.

Step-by-step explanation:

Given the rational expressions $\frac{3x+2}{x-1}$ and $\frac{2x-5}{x-1}$, we can observe that both have the same denominator, then we can add them.

We must rewrite the denominator $x-1$ and add the numerators. Then:

$=\frac{(3x+2)+(2x-5)}{x-1}$

Therefore, adding the like terms on the numerator, we get the following sum:

$=\frac{5x-3}{x-1}$

We can observe that this sum matches with the sum shown in the option B.