Question

3-3x^2+6+3x+1+4x+2x
combined like terms

Answer 1

Like terms are terms that are alike. 5x and 3x are like terms because they have a coefficient along with a variable. Like terms are terms that can be added together.

We are given:

`3-3x^2+6+3x+1+4x+2x`

Since the
`x^2` term can't be combined to anything, let's combine our x terms. Here is what we will combine:

`3x+4x+2x = 9x`

When combined, they equal 9x. So our expression is now:

`3-3x^2+6+1+9x`

Now, let's combine our regular numbers. We will be adding:

`3+6+1=10`

Now, our expression is even more simplified. We are left with:

`-3x^2+9x+10`

This is your final answer. Nothing can be combined further. Fun fact, this is in standard form and you will be using it in higher algebra.

Answer 2

Combining like terms must always be in descending order.

Start with the exponents.

As we see, there is no other exponents so we would leave it as such.

`-3x^2`

Progress on to the next greatest which are the variables.

Add all of the coefficients

`4x + 3x + 2x = 9x`

Lastly, move on to the single numbers.

Add them together as shown above, but this time there are no coefficients so it is just a matter of addition and subtraction

`3 + 6 + 1 = 10`

Therefore, the answer is:

`-3x^2 + 9x + 10`