# Simplify {[(5-8)xx(6+44)]-23}+{[(5-3)xx(63-2)]-21}xx(8-3)?

Jun 14, 2017

$\left\{\left[\left(5 - 8\right) \times \left(6 + 44\right)\right] - 23\right\} + \left\{\left[\left(5 - 3\right) \times \left(63 - 2\right)\right] - 21\right\} \times \left(8 - 3\right) = - 315$

#### Explanation:

Normally the order of operations followed is PEMDAS i.e. first parentheses, then exponents, then multiplication, division and finally addition and subtraction.Bur here what we have is a number of parentheses.

In such cases we first solve internal parentheses and then slowly move out. Please see below for details.

$\left\{\left[\left(5 - 8\right) \times \left(6 + 44\right)\right] - 23\right\} + \left\{\left[\left(5 - 3\right) \times \left(63 - 2\right)\right] - 21\right\} \times \left(8 - 3\right)$

= $\left\{\left[\left(- 3\right) \times 50\right] - 23\right\} + \left\{\left[2 \times 61\right] - 21\right\} \times 5$

= {[-150-23}+{122-21}xx5

= $\left\{- 173 + 101\right\} \times 5$

= $\left(- 63\right) \times 5$

= $- 315$