Question

Which expression is equivalent to the expression below?

Answer 1

Answer:

Hence final answer is -3c.

Step-by-step explanation:

Given expression is $\frac{6c^2+3c}{\frac{-4c+2}{\frac{2c+1}{4c-2}}}$

now we need to dinf about which of the given expressions are equivalent.

So let's simplify the given expression

$\frac{6c^2+3c}{\frac{-4c+2}{\frac{2c+1}{4c-2}}}$

$=\frac{6c^2+3c}{-4c+2}\cdot\frac{4c-2}{2c+1}$

$=\frac{3c\left(2c+1\right)}{-\left(4c-2\right)}\cdot\frac{4c-2}{2c+1}$

Cross out the similar factors from top and bottom

$=\frac{3c}{-1}$

$=-3c$

Hence final answer is -3c.

Answer 2

Answer:

The equivalent expression is -3c

Step-by-step explanation:

See the attached figure