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Has knowing those factorisations come in handy?
Not at all. Do you think I would stuff my primitive cerebrum with the mere memorization of identities? But the looking up of them when necessary has been a great help.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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