Question

Pablo is simplifying the expression below.

Negative one-fourth (8 x + 12) minus (negative 2 x + 5)

He used the steps below to simplify the expression.

Negative one-fourth (8 x + 12) minus (negative 2 x + 5) = negative 2 x minus 3 + 2 x minus 5 = negative 8


Which statement is true about the steps that Pablo used to simplify the expression?
He combined like terms inside the parentheses, distributed Negative one-fourth over (8 x + 12), and then combined the remaining like terms.
He combined like terms inside the parentheses, distributed Negative one-fourth over (Negative 2 x + 5), and then combined the remaining like terms.
He distributed Negative one-fourth over (8 x + 12), distributed 1 over (Negative 2 x + 5), and then combined like terms.
He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.

Answer 1

Explanation:

I hope it will help you a lot

Answer 2

D. He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.

Explanation:

We know that when using the distributive property, you have to multiply the outside value with the inside value and then either subtract or add.

You can combine like terms first, but that is only if there are like terms inside the parentheses. In this case, there are not, so you would distribute first.

So, to do that, you have to first distribute -1/4 to the 8x+12 and then distribute the -1 to the -2x+5. (note that they did not include the 1, but it is still there)

So, it is D