Which expression is equivalent to the expression below?

Question

asked Jun 13, 2020 78.2k views

2 Answers

Dr Manhattan · Answer 1 · 2020-06-20T16:46:06+0000

Answer:

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.