Question

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

Answer 1

`{[(5-8)xx(6+44)]-23}+{[(5-3)xx(63-2)]-21}xx(8-3)=-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.

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

= `{[(-3)xx50]-23}+{[2xx61]-21}xx5`

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

= `{-173+101}xx5`

= `(-63)xx5`

= `-315`