2023-08-14 06:53 UTC
2/4
We already know that (1+3) has to be multiplied by 2 - the coefficient - hence The Distributive Law (TDL). i.e. we MUST "distribute" the coefficient over whatever is inside the brackets, a(b+c)=(ab+ac). It's the reverse operation to factorising, so if we fail to obey TDL then we literally break factorised terms.
We can also see that 8 has to be divided by the factorised term, hence our rules for Terms - Terms are separated by operators (+, -, x, /÷), and joined by brackets...
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@SmartmanApps@dotnet.social 2023-08-14 06:56
3/4 So 1+3 has been joined by brackets, and the 2 has been joined to that due to not being separated by an operator, so our second term is 2(1+3) - the standard way of writing factorised expressions - and our 1st Term is 8,which is separated from the 2nd Term by a division. If we wrote out expanding the brackets in full, it would be 2(1+3)=(2*1+2*3). Note that the "multiplication" (distribution) is INSIDE the brackets, hence it is part of Brackets in order of operations, NOT "multiplication"...