Simplify the expression.

(3 over 4x−1)+(3 over 4x−2)

answer choices :

1

3 over 4x+1

-3

3 over 2x−3

1 answer

To simplify the expression, we can first find a common denominator. The denominators in this case are (4x-1) and (4x-2). The common denominator is then (4x-1)(4x-2).

Next, we can rewrite each fraction with the common denominator:

(3/(4x-1)) + (3/(4x-2))

To add these fractions, we need to have the same denominator.

(3(4x-2) + 3(4x-1)) / (4x-1)(4x-2)

Simplifying the numerator gives us:

(12x - 6 + 12x - 3) / (4x-1)(4x-2)

Combine like terms:

(24x - 9) / (4x-1)(4x-2)

Therefore, the simplified expression is:

(24x - 9) / (4x-1)(4x-2)

None of the answer choices match this simplified expression.