Question

Cynthia is checking over her test before she turns it in to make sure all of her answers are correct. The problem below has her especially concerned. Which of the following statements best describes the work Cynthia is about to turn in?

Answer 1

A. Cynthia distributed incorrectly

Explanation:

we are given expression

`8x(x-3)+2x(x+2)+5`

Since, we distribute 8x and 2x

we get

`8x* x-8x* 3+2x* x+2x* 2+5`

now, we can multiply terms

`8x^2-24x+2x^2+4x+5`

We can see that instead of 2x^2 , Cynthia wrote 2x

so, there is a mistake in distribution

So,

Cynthia distributed incorrectly

Answer 2

A

Explanation:

If you look at Cynthia's work in the 2nd line, the third term of
`2x` is incorrect.

Using the distributive property (
`a(b+c)=ab+ac`),
`2x` multiplied by
`x` is
`2x*x=2x^2` NOT
`2x` !

So i would say Cynthia used the distributive property wrong!

Cynthia distributed incorrectly!

Answer choice A is right.