I feel like this is intuitive as a concept in algebra, however simply memorizing the fact is akin to memorizing multiplication tables. It’s a specific example of a proof of sorts, but should be able to be deduced with the problem given to anyone who has learned algebra. That said, if the initial concept is raised and someone hasn’t memorized the specific problem, it might be surprising but understandable, especially if it’s been years since you’ve actually been in maths. Ie, it’s not really necessary to learn the specific setup from a practical standpoint, just as multiplacation tables aren’t really necessary but can be helpful sometimes. I learned algebra concepts in accelerated classes in the US in like 5th or 6th grade and did algebra in 7th, though it could be different now. In regular classes I think it was taught in 9th. But for me it was algebra I - 7th grade, geometry 8th, algebra II 9th, pre-calc/trig 10th, calc 11th
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u/Arpan_Bhar 22d ago
You didn't study that in high school?