# How do you evaluate 2[3(7-5) + 4(8+2)]?

Mar 4, 2018

Using PEMDAS

$2 \left[3 \left(7 - 5\right) + 4 \left(8 + 2\right)\right]$

P - parentheses which are the brackets.

E - exponents

M - multiplication

D - division

S - multiplication

$2 \left[3 \left(2\right) + 4 \left(10\right)\right]$

$= 2 \left[6 + 40\right]$

$= 2 \left[46\right]$

$= 92$

Mar 4, 2018

$92$

#### Explanation:

$2 \left[3 \left(\textcolor{b l u e}{7 - 5}\right) \text{ "+" } 4 \left(\textcolor{red}{8 + 2}\right)\right]$

=2[3(color(blue)(2))" "+" "4(color(red)(10))]" "larr multiply to remove the brackets

=2[color(blue)(6)" "+" "color(red)(40)]" "larr simplify inside the square brackets

$= 2 \left[\textcolor{p u r p \le}{46}\right] \text{ } \leftarrow$ multiply to remove the square brackets

$= 92$

It may seem that the usual order of operations is not being followed here because we do: