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

The expression equivalent the given expression is .

Given expression is,

Here we observed that (2c + 1) and (-4c + 2) are cancelled out to each other from numerator and denominator.

Hence, The expression equivalent the given expression is .

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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.

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