# How do you multiply 2(n + 2n)?

Jun 9, 2018

See below

#### Explanation:

Distribution of external coefficients (the 2 in this case), will cause the inside of the brackets to be broken up inbetween the +'s -'s and other expressions. However if it is a multiplication or division operator, that expression should be evaluated first then the product of those expressions used instead.

$2 \left(n + 2 n\right) = 2 \cdot \left(n\right) + 2 \cdot \left(2 n\right)$
Notice how the n and 2n are in parentheses... these are the inside of the original parentheses but separated and the 2 is multiplied to them separately.