P – parentheses

E – exponents

L – left

R – right

Then you can manipulate the Mathematics however you choose without any confusion.

Problem Solved

]]>3+3 * 3+3 = 36

3+ 3*3 +3 = 15

3 + 3 * 3 + 3 = 21

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When you write

xy3^2 + 4a + c

I alrdy know immediately by spacing that I am adding 3 whole numbers just like Idontspeaklikethis cuz if Id ids pea klik eth is you would not understand what I am saying.

a/b/c = (a/b)/c = a/(bc). ]]>

PEMDAS says (in brief)

1) Parentheses

2) Exponents (that includes radical)

3) Multiplication and Division, left to right

4) Addition and Subtraction, left to right.

Implied and explicit multiplication are equivalent. That is to makes it simpler, It is the single biggest distinguishing feature compared with possibly every other convention.

How can you not be aware of this?

None of your examples are ambiguous under PEMDAS.

e.g. a/b/c = (a/b)/c = … = ac/b because of the left to right rule.

ab/ab = ((ab)/a)b = … = b^2

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]]>Sometimes it’s easier to deal directly with symmetric functions, true, but I think when coefficients are integers, combinatorialists always want (signed) ways of counting them. So I think this rule is just intrinsically interesting, and very useful if you’re cranking out coefficients by hand. If you’re doing it by computer, symmetric functions are probably the more efficient way to go.

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