Question

Simplify...

Answer 1

\[(3x ^{2}+2x +7x ^{3})+(10x ^{2}+6x +9)\]

This needs simplified and I'm not sure whre to begin.

Answer 2

@misty1212

Answer 3

First step is to remove the brackets. Next gather like terms.

Answer 4

What do you mean by remove the brackets? And when I combine the like terms, do I add the add the exponents?

Answer 5

Removing the brackets gives
\[\large 3x^{2}+2x+7x^{3}+10x^{2}+6x+9\]
The terms in x-squared are like terms. To add the 2 terms in x-squared, just add the coefficients of x-squared (3 + 10 = 13).

Answer 6

Oh, ok. So I have \[13x ^{2}+2x +7x ^{3}+6x +9\]

Answer 7

can I combine 2x and 6x?

Answer 8

The terms in x are also like terms. To add them just add the coefficients (2 + 6 = 8).

Answer 9

Right. SO now:
\[13x ^{2}+8x+7x ^{3}+9\]

And so is that it?

Answer 10

The next step is to arrange in decreasing order of powers, not really necessary but yeah..
\[7x^3+13x^2+8x+9\]
Looks more nice that way

Answer 11

Nearly finished. The last step is to arrange the terms in descending powers of x, starting with x cubed.

Answer 12

Ok, thanks so much everyone!

Answer 13

You're welcome :)