Question

Which expressions are equivalent to 2(-6c + 3) + 4c

A. -8c + 6
B. 3(-4c + 2)+4c
C. None of the Above​

Answer 1

A and B

Explanation:

2(-6c + 3) + 4c

According to PEMDAS, we should evaluate the parentheses first.

However, the parentheses are already simplified completely.

Now we look for exponents. However, there are no exponents.

Next is multiplication. We can see there is a 2 directly outside of the parentheses. Distribute the 2 across each term in the parentheses.

-12c + 6 + 4c

Now combine like terms with addition.

-8c + 6

We can see that A. -8c + 6 is an answer choice.

Let's look at B. 3(-4c + 2) + 4c

Following the same steps, we will move on to multiplication.

-12c + 6 + 4c

Combine like terms with addition.

-8c + 6

This is also an answer choice.

Hope this helps!