At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
wait....nevermind these are proofs not equations...give me a minute.
Okay, take your time. XD
this is a tough one......
they are fun though..give a minute....
sin^3 - 8 -------- = sin^2 + 2sin + 4 ?? is this right? sin - 2
the top is a difference of cubes.....
(sin-2) (sin^2 +2sin +4) ------------------- (sin-2)
really? i dont see that?
sin^3 - 2^3.... plain as day :)
yeah, but what about 1/sin?
there is no 1/sin.... which problem you doin? :)
same one, 8/sin
nah.... that aint it.....
(sin^3 - 8)/(sin - 2) = sin^2 + 2sin + 4
there are no parentheses in the problem, so im assuming that it means -8/sin
then it aint gonna work out :) Have a crack at it, but its futile.....
It's (sin^3 - 8)/(sin-2)
oh.....ok. You were right. My bad. sorry.
'sok :) Blame it on the rain :)
How does a difference of cubes work? Can you show me it in detail?
The best way to understand it is to actually multiply a cubed expression like (a-b)^3
Which of course is just (a-b)^2 times (a-b)
Ack!!...splained it wrong lol (a-b)(a^2 + ab + b^2)
suppose you have an expression like this (f = first and l = last): (f^3 - l^3) can be factored: (f-l)(f^2 +fl +l^2)
So what would be a and b? I'm sorry, I'm no good at this stuff. Thanks for helping though!
Lets use some numbers: x^2 - 64 is a good example: 4*4*4 = 64 = 4^3 x^3 - 4^3 can be factored like this: (x-4)(x^2 +4x + 4^2)
that should have been x^3 - 64....
many centuries ago, mathmatickers noticed patterns in the way certain forms worked; and they surmised these tricks to help them solve the stuff quicker....
Wow, I get it now! Thanks soooo much!!
good job... I gotta be going home now.... Ciao :)