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 need to find the common denominator for the two fractions. The denominators are 4x - 1 and 4x - 2. To find the common denominator, we multiply the two denominators together: (4x - 1)(4x - 2).

After finding the common denominator, we can add the fractions together. Since the fractions have the same numerator, we can add the numerators directly.

The simplified expression is (3(4x - 2) + 3(4x - 1)) / (4x - 1)(4x - 2).

This can be simplified further by distributing and combining like terms: (12x - 6 + 12x - 3) / (4x - 1)(4x - 2).

Combining like terms gives us: (24x - 9) / (4x - 1)(4x - 2).

So, the simplified expression is 24x - 9 / (4x - 1)(4x - 2).

None of the answer choices matches this simplified expression.