Question

Simplify.
(3x^2 + 2x + 7x^3) + (10x^2 + 6x + 9)

Answer 1

Add like terms

\(3x^2+10x^2=?\\2x+6x\)

\(7x^3\) and \(9\) don't have any like terms so leave them as is

Answer 2

A: 7x^3+13^2+8+9
B: crossed out
C: 13^2+8x+16^3
D: 13x^4+7x^3+8+^2+9

Answer 3

@grimesssz

Answer 4

what do you think

Answer 5

She can't give direct answers. A mod already came and deleted her answer.

Answer 6

\((3x^2 + 2x + 7x^3) + (10x^2 + 6x + 9) =\)

Since you are adding polynomials, you don;t need the parentheses, so just drop the parentheses and write:

\(=3x^2 + 2x + 7x^3 + 10x^2 + 6x + 9\)

Now notice which terms are like terms and move them together.
We can do this because of the commutative and associative properties of addition.

\(=\color{red}{3x^2} + \color{blue}{2x} + \color{green}{7x^3} + \color{red}{10x^2} + \color{blue}{6x} + 9\)

\( =\color{green}{7x^3} + \color{red}{3x^2} + \color{red}{10x^2} +\color{blue}{2x} + \color{blue}{6x} + 9 \)

Now combine like terms to find your final answer.
Remember that like terms have the same variable part and are shown above in the same color.