68.1k views
3 votes
Select all expressions that are equivalent to 5 + n + n - 3. • 2 + 3п • 7n-3 • 5n3 - 3 • 5n + 2n - 3 • 2+n+n+n

1 Answer

3 votes

Answer:

2 + n + n + n

Explanation:

If you want to find out which expressions are the same as 5 + n + n - 3, you have to make it simpler by adding or subtracting things that are alike. For example, you can write 5 + n + n - 3 as 5 + 2n - 3. Then, you can take away 5 and 3 to get 2n + 2. So, any expression that becomes 2n + 2 when you make it simpler is the same as the original expression.

Now, let's look at the choices and see which one becomes 2n + 2 when we make it simpler. There is only one choice that does that. It is:

2 + n + n + n

We can add the n's together to get 3n, and then add 2 to get 3n + 2. Next, we can take out a common factor of n to get n(3 + 1), which is n(4). Lastly, we can use the opposite of the distributive property to get 4n + 4, which is the same as 2n + 2.

So, the only expression that is the same as 5 + n + n - 3 is:

2 + n + n + n

User Berdir
by
8.2k points