# How do you simplify #12x (x^2 + 3) - 8x (x^2 + 3) + 5 (x^2 + 3)#?

##### 2 Answers

You can either distribute and combine like terms or you can factor.

#### Explanation:

I'll show distributing first.

I like to distribute one term at a time then combine them.

Combine like terms

Put it in the proper order

That would be it for distributing.

For factoring, you find a common factor in each term and pull it out.

Every term is multiplied by

Then combine like terms

And that's it. I hope this helps.

#### Explanation:

- Use the distributive property to simplify each part in parenthesis, then add.

You started with

Distribute the 12x, -8x, and 5 to the values in parenthesis they are next to:

Rearrange so you can combine like terms (list with exponents in descending order):

Combine like terms:

- Alternatively, because the value in parenthesis is the same (it is
#x^2 + 3# ), you can take add the coefficients together and multiply their sum by#x^2 + 3# .

You started with

The coefficients are 12x, -8x, and 5. Add those together. You are able to do that because they are each being multiplied by the same thing (

Combine like terms:

Multiply the value you just got (

Distributive Property (use the FOIL method):

Multiply to find each value in parenthesis:

Rearrange (list with exponents in descending order):

There are no like terms to combine, so your answer is