Question

How do you simplify `(4 / 2) + 4(5 - 2)^2` using PEMDAS?

Answer 1

`38`

Explanation:

`"simplify using PEMDAS"`

`["P-parenthesis (brackets), E-exponents (powers), "`
`"M-multiplication, D-division, A-addition, S-subtraction"]`

`rArr2+4(3)^2larrcolor(red)"parenthesis"`

`=2+4xx9larrcolor(red)"exponents"`

`=2+36larrcolor(red)"multiplication"`

`=38larrcolor(red)"addition"`

Answer 2

`38`

Explanation:

The most important thing is to identify and count the number of TERMS first.

Terms are separated by `+ and -` signs.

Each term is simplified to a single answer and they are added or subtracted in the last step.

Within each term: the order is

Brackets
powers and roots
Of
multiplication and division

`" "color(blue)((4 / 2))color(red)( + 4(5 - 2)^2)" "larr` there are 2 terms
`" "darr color(white)(xxx..x)darr" "` division and subtraction
`=color(blue)((2))" "color(red)( +" " 4(3)^2)`
`" "darr color(white)(xxx..x)darr`
`=color(blue)(2)" "color(red)( +" " 4(9)`
`" "darr color(white)(xxxx.x)darr`
`=color(blue)(2)" "color(red)( +" " 36)`

`=38`