# How do you simplify 3(2b-a)-(2a-b)?

Oct 23, 2016

$\textcolor{\mathrm{da} r k b l u e}{7 b - 5 a}$

#### Explanation:

Simplify by distributing.

First take $3$ and multiply it across the first binomial, which is $2 b - a$.

$\textcolor{\mathmr{and} a n \ge}{3} \left(\textcolor{g r e e n}{2 b} - \textcolor{red}{a}\right) = \left(\textcolor{\mathmr{and} a n \ge}{3}\right) \left(\textcolor{g r e e n}{2 b}\right) - \left(\textcolor{\mathmr{and} a n \ge}{3}\right) \left(\textcolor{red}{a}\right)$

Now simplify.

$\textcolor{b l u e}{6 b} - \textcolor{b l u e}{3 a}$

At this point, we have simplified as much as possible in the first parentheses. We can move on to the $\left(2 a - b\right)$.

There is a subtraction sign in between the two binomials, so we can take that and distribute it across as a negative sign. Remember: $x - y = x + - y$.

$\textcolor{b l u e}{6 b - 3 a} - \textcolor{p u r p \le}{2 a + b}$

Now combine like terms.

$\textcolor{\mathrm{da} r k b l u e}{7 b - 5 a}$