Help with a calculus problem?

Question

How many terms are the expansion of {(5/8 a + 3/4 b)^12 (5/8 a - 3/4 b)^12}^12 when simplified?

Please show work! Thanks!

Answer 1

Okay, this is going to be totally wrong, but I'm going to guess upon how to do that (I just got out of pre. al, so beware..._)

{5/8 a + 3/4 b) could be 5/8 a + 6/8 b ...? no... a and b don't like each other... um, well... i'll just go with that idea, though it's probably wrong..... so now we have 11/6 ab, wouldn't that be 1 & 5/6 though... anyway... I'l keep going, I know my answer is wrong, but.. I felt like trying to answer this..... then we go onto (5/8 a - 3/4 b) that = (5/8 a - 6/8 b) so you get a negative 1/8 ab ...? to the power of 12...? ( i think that's what the little ^ means on the comp....) and that comes out to be -1.4551915228366851806640625e-11 (that's what my comp calculator told me, at least...) so so far the problem looks like this:

{(11/6 ab)^12 (-1.4551915228366851806640625e-11 ab)} right?

ha haa, this next part is for sure wrong...) but after you do the 11/6 ab ^12 it turns into this now...?

1607166017050789.86525390625 ab  1.4551915228366851806640625e-11 ab Then do we times it? I'm guessing on all of this, so I'm probably way, way, off.... (Math is my weak point too :P)

-1607020497898506.19673583984375 ab^2 LOL, that's anumber numer! well, actually, a very small number!!

I know that's the wrong answer, and that calcuse is a lot harder the algabra (well, I haven't actually started algebra yet, but I'm about to....) but there's my answer... (Is that way off? I just started 8th grade, haven't had any homework, but yeah....)