# Question #358fc

Sep 20, 2016

$+ 8 {a}^{3}$

#### Explanation:

It is only if you are adding or subtracting in Algebra that you need to have like terms.
For multiplication and division you can multiply or divide no matter what the terms or factors are.

$\rightarrow \text{ multiply the signs}$
$\rightarrow \text{ muliply the numbers}$
$\rightarrow \text{ add the indices of variables that are the same}$

$2 {a}^{2} \times 4 a \rightarrow \text{ is the same as } 2 \times a \times a \times 4 \times a$

=$+ 8 {a}^{3}$

Note that
${\left(2 a\right)}^{2} \text{ "and " } 2 {a}^{2}$ are not the same!

${\left(2 a\right)}^{2} = 4 {a}^{2} \text{ }$ the whole bracket is squared

$2 {a}^{2} = 2 {a}^{2} \text{ }$ only the $a$ is squared