Which expression is equivalent to the expression below? StartFraction 6 c squared + 3 c Over negative 4 c + 2 EndFraction divided by StartFraction 2 c + 1 Over 4 c minus 2 EndFraction

Answer is D

The expression which is equivalent to (6c² + 3c) / (-4c + 2) : (2c + 1) / (4c - 2) is - 3c.

Step-by-step explanation:

The given fraction is:

(6c² + 3c) / (-4c + 2) : (2c + 1) / (4c - 2)

Simplify the equation:

3c (2c+1) / - 2 (2c - 1) : (2c + 1) / 2 (2c-1)

Change the division sign into a multiplication sign

3c (2c+1) / - 2 (2c - 1) * 2 (2c-1) / (2c+1)

Cancelling 2 (2c-1):

3c (2c+1) / - 1 * 1 / (2c+1)

Cancelling 2c+1:

3c/-1 * 1/1

Simplifying:

-3c

Hench the given fraction is equals to - 3c.