Which expression is equivalent to the expression below?
Accepted Solution
A:
Answer:Hence final answer is -3c.Step-by-step explanation:Given expression is [tex]\frac{6c^2+3c}{\frac{-4c+2}{\frac{2c+1}{4c-2}}}[/tex]now we need to dinf about which of the given expressions are equivalent.So let's simplify the given expression[tex]\frac{6c^2+3c}{\frac{-4c+2}{\frac{2c+1}{4c-2}}}[/tex][tex]=\frac{6c^2+3c}{-4c+2}\cdot\frac{4c-2}{2c+1} [/tex][tex]=\frac{3c\left(2c+1\right)}{-\left(4c-2\right)}\cdot\frac{4c-2}{2c+1} [/tex]Cross out the similar factors from top and bottom[tex]=\frac{3c}{-1} [/tex][tex]=-3c [/tex]Hence final answer is -3c.