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
comments
I haven’t encountered this kind of thing before so I don’t know what the goal is but here’s something that looks simplified:
60 - 300/(2x^3 + 5x^2) - 155/(2x^2 + 5x) - 85/(2x + 5)60 - 300/2x^3 + 300/5x^2 - 155/2x^2 - 155/5x - 85/2x - 85/5and then
60 - 150/x^3 + 60/x^2 - 77.5/x^2 - 31/x - 42.5/x - 17and then
43 - 150/x^3 - 17.5/x^2 - 73.5/xwhich can also be written as
+43x^0 -73.5x^-1 -17.5x^-2 -150x^-3congratulations, I just made you do algebra for no reason >:D
(do you agree that writing it down makes it easier?)
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 ∎49.5+9x/5-66/x²+12/5x
is this in simplest form? (i didn’t do this in my head)