to all of the people saying “its easy, I can do it in my head” I’m not talking about factoring an orderly quadratic I’m talking about simplifying a monstrosity like this:
you really think you could simplify THIS in your head
(tbf this isn’t actually that hard of a problem, but like, you get what I mean?)
fun fact:
trying to do algebra without writing things down is like trying to assemble something in your hands without a table
guess what happens when you try to do that with something big and complicated
you drop and break stuff
that’s not how that works
take, for example,
1/5 = 1/(2+3)
1/2 + 1/3 = 5/6
1/5 != 5/6
therefore, the assumption that ∀x. ∀y. ∀z. x/(y+z) = x/y = x/z is false ∎