Question

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

Answer 1

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:

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

Answer 2

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.