# How do you simplify 6(2p+1)?

Apr 22, 2016

$= 6 \times 2 p + 6 \times 1 = 12 p + 6$

Apr 22, 2016

$12 p + 6$

#### Explanation:

Given:$\text{ } 6 \left(2 p + 1\right)$

$\textcolor{b l u e}{\text{Using first principles}}$

This is the same as $6 \times \left(2 p + 1\right)$

So you have 6 lots of $\left(2 p + 1\right)$

Which means you have:

6 lots of $2 p$ and 6 lots of $\left(+ 1\right)$ which gives

$2 p + 2 p + 2 p + 2 p + 2 p + 2 p + 6$

This is the same as: $12 p + 6$
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$\textcolor{b l u e}{\text{Shortcut method}}$

Multiply everything inside the brackets by 6 giving

$12 p + 6$