# How do you simplify a^3 - 2a^b + 3a^3 + 4a^2b - 8a^3?

Feb 5, 2017

$- 4 {a}^{3} + 4 {a}^{2} b - 2 {b}^{6}$

#### Explanation:

First identify the like terms in the expression.

$\textcolor{b l u e}{{a}^{3}} - 2 {a}^{b} \textcolor{b l u e}{+ 3 {a}^{3}} + 4 {a}^{2} b \textcolor{b l u e}{- 8 {a}^{3}}$

Add the like terms, keeping the variables the same:

Then arrange the terms in descending order of the powers of one the variables. (in case, powers of $a$)

$= \textcolor{b l u e}{- 4 {a}^{3}} + 4 {a}^{2} b - 2 {b}^{6}$