You realize a calculator doesn’t need to be a dedicated hardware, right?

You realise the calculator manufacturers have much more riding on their calculators being correct, right? 😂

Windows calculator, MacOS calculator, Android calculator, and all web-based calculators count as well.

Nope. Programmed by... programmers, who aren't earning any money from the calculator, and put the corresponding amount of effort into it.

You have no clue what you’re talking about.

says someone who just claimed that e-calcs count as much as actual, buy from a store, calculators 🤣

Alpha is a commercial product (with a free-tier as is usual nowadays)

Also well known to give wrong answers

uses the same engine as Mathematica, which is used extensively in industry, academic institutions

Nope! Academia warns against using it

None of your sources has exponents in them

In other words, you're admitting to trying to deflect from what's in Maths textbooks! 😂

that’s very convenient for your mistake of mixing up juxtaposition and your invented rule

It's the same rule, duh! Here it is in a textbook from more than 100 years ago when everything was still in brackets...

We've since then dropped the brackets from Factors which are a single Term. i.e. (a)(b+c) is now a(b+c), and (a)(b) is now ab. BTW would you like to explain how "my invented rule" appears in a textbook from more than 100 years ago? 🤣

Btw, ask yourself this as well: why would your invented interpretation of distributive law be necessary at all?

It's not invented, it's required as the reverse rule to Factorising, duh 😂 And I don't need to ask myself - as usual, all you have to do is look in Maths textbooks for the reason 😂

It brings no benefit to the table at all.

Being able to reverse the process of Factorising brings no benefit to the table?? 🤣

Juxtaposition arguably does

It's the same thing duh 🤣 ab=(a)(b), a(b+c)=(a)(b+c) notice how they are the same thing, expanding BRACKETS?? 🤣

Maybe you've forgotten about FOIL...

Now, think carefully about this, what happens when b=0, and what happens when d=0, you got it yet?? 🤣

because it allows shorter notation

AKA Factorised Terms and Products 😂

your invention doesn’t.

Again, explain how "my invention" appears in textbooks that are more than 100 years old. I'll wait 🤣

because it’s the only correct answer

Have you noticed yet that everything you think is correct is actually wrong as per Maths textbooks?? 🤣

I’ll consider your argument defeated

says person who has been comprehensively defeated by Maths textbooks and is now trying to deflect away from that 🤣

ignore further engagement from your part

I'll take that as an admission that you're wrong then, having been unable to debunk any Maths textbooks. See ya