Question

What is the sum of the rational expressions below? 3x + 2 / x-1 + 2x - 5 / x-1 ASAP please

Answer 1

To add the two rational expressions, we need to find a common denominator:

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

Now that we have a common denominator, we can add the numerators and simplify:

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

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

This is the simplified sum of the two rational expressions.

Answer 2

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

Explanation:

You want the sum of (3x +2)/(x -1) and (2x -5)/(x -1).

Sum

The two expressions have the same denominator, so their numerators can be added.

`(3x+2)/(x-1)+(2x-5)/(x-1)=((3x+2)+(2x-5))/(x-1)=((3+2)x+(2-5))/(x-1)\\\\\\=\boxed{(5x-3)/(x-1)}`

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Additional comment

When rational expressions are written in plain text without the benefit of a typeset fraction bar, both numerator and denominator need to be put in parentheses as shown above. As written, the problem is asking for the sum 3x +(2/x) -1 +2x -(5/x) -1 = 5x -2 -3/x. This doesn't appear to be what you intend.

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