This is what I did:
(FOIL)
But when I check it here: Function calculator it gives me what appears to be an imaginary number, it says the answer is: . But I can't understand why, the negative ones should all work because they are never taken to an even root.
I looked at his solution (and found no errors) and after seeing how bad the function calculator was, I ran it through my TI-92.
My guess is that the programs are having trouble with the cube root for negative x. (Though you would think that Maple at least wouldn't have that problem.)
-Dan
which brings up another interesting--maybe related--point. when you try to graph x^(1/3) with Graph, it only graphs the function for positive x's. why is it that programs have trouble evaluating the odd roots of negative numbers? is it a glich, or do they know something that we don't?
No, I just downloaded it, I'll give it a try.
I've been using:
Cool math .com - Online Graphing Calculator - Graph It!
and Function Grapher Online
Wow, it's a pretty neat program I like how easy it is to check an answer, click the shady parabola thing :P
But, it also could not verify the answer for negative numbers, said it was imaginary. But I checked my answer anyway by taking it from 0 to 1 instead, and graph agreed with me, so if I got it wrong, then it's only due to an arithmetic error at the end. And that is rather unlikely as topsquark got the same answer.
On a side note, I wish I was a robot.