Question

How do you simplify `5(4+7)=20+35` using PEMDAS?

Answer 1

55

Explanation:

PEMDAS represents the 'initial' letters being used in `color(blue)"order of operation"` for a mixed operation expression.

P - Parenthesis (brackets)
E - Exponents (powers)
M - Multiplication
D - Division
A - Addition
S- Subtraction

In this expression `color(red)"P"cancel(E)color(red)"M"cancel(D)cancel(A)cancel(S)`

we only have the 2 operations `color(red)"P"" and "color(red)"M"`

Evaluating Parenthesis : ( 4 + 7 ) = 11

Evaluating Multiplication : `5xx11=55`

`rArr5(4+7)=55`

Which agrees with the `color(blue)"distributive property"` you have included in the question

`rArr 5(4+7)=(5xx4)+(5xx7)=20+35=55`