Question

Which expression is equivalent to the expression below?

Answer 1

The equivalent expression is -3c

Explanation:

See the attached figure

Answer 2

Hence final answer is -3c.

Explanation:

Given expression is
`(6c^2+3c)/((-4c+2)/((2c+1)/(4c-2)))`

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

So let's simplify the given expression

`(6c^2+3c)/((-4c+2)/((2c+1)/(4c-2)))`

`=(6c^2+3c)/(-4c+2)\cdot(4c-2)/(2c+1)`

`=(3c\left(2c+1\right))/(-\left(4c-2\right))\cdot(4c-2)/(2c+1)`

Cross out the similar factors from top and bottom

`=(3c)/(-1)`

`=-3c`

Hence final answer is -3c.