What is the sum of the rational expressions below?

Question

asked Sep 5, 2020 190k views

2 Answers

Emachine · Answer 1 · 2020-09-08T02:16:43+0000

Answer: OPTION B.

Explanation:

Given the rational expressions
(3x+2)/(x-1) and
(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:

=((3x+2)+(2x-5))/(x-1)

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

=(5x-3)/(x-1)

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

Siva Gnanam · Answer 2 · 2020-09-10T01:54:37+0000

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