Question

What is `3(4-2)+2(8-:4)^2*6-6`?

Answer 1

`3(4-2)+2(8÷4)^2×6-6=48`

Explanation:

Using PEMDAS

`3(4-2)+2(8÷4)^2×6-6`

= `3(4-2)+2×2^2×6-6`

= `3×2+2×4×6-6`

= `6+48-6`

= `48`

Answer 2

`48`

Explanation:

In doing any calculation which has a combination of operations, the first thing is to count the number of terms. Each term must be simplified to one answer and only in the last step are the final answers added or subtracted.
Remember that the + or * sign belongs with the term after it. Each term must keep its own sign.

Blindly following PEMDAS, PEDMAS, BODMAS, BOMDAS or whatever version you know, will often result in a wrong answer.

Operations are not all equal, some are powerful while others are weak. We work from strongest to weakest.
Parentheses are used when a weaker operation must be done first.

In a term, do the powers and roots first, then the multiplications and divisions. If there are parentheses, do them before anything else.

`color(blue)(3(4-2)) color(magenta)(+2(8÷4)^2×6)color(green)(-6)" There are 3 terms"`

=`color(blue)(3(2)) color(magenta)(+2(2)^2×6)color(green)(-6)`

=`color(blue)(6) color(magenta)(+2(4)×6)color(green)(-6)`

There are now 3 answers to the terms which can be added or subtracted.

=`color(blue)(6) color(magenta)(+48)color(green)(-6)`

=`48`