Recent content by aporter1

here is that I've started on

Homework Statement ∛4 ∛5 ∛3 and ∛a Homework Equations The Attempt at a Solution I have started with the problem but i feel like I'm off track. I'll upload a pic of the work so far.

its one class, and i got good grades in the pre requisites. but see its an independent study class where its a special topics class, so my teacher just randomly picked a book

(ac−bd)2+(ad+bc)2

so I'm on the right track for the right side then?

so I've gone along with assume: rk=(a2+b2) if, rk+1=(a2+b2)(c2+d2)=(ac-bd)2)+(ad+bc)2

so I'm thinking this is how i start, r= (a2+b2)(c2+d2)...n=(ac-bd)2+(ad+bc)2 am i on the right track?

okay but what I'm confused with is how do I end up substituting n in?

would i add r2+s2 to both sides?

its greater than zero because there are fractions

I've taken history of math discrete math, but its been a while. Its a 400 level course, its an independent study class. I've gone to my teacher for help but I don't understand

so how do i go about doing that then? I have to start with: 2/[(1/r)+(1/s)]2

no because where do i substitute the 2 into? i needed a n term in there to be able to put the 2 in

okay so I'm starting to prove by induction, let a1 be related to (a2+b2) and a2 be related to (c2+d2) so we have : r=(a2+b2)(c2+d2)...n(n+1)= (ac-bd)2+(ad+bc)2

well I was just comparing it to the other part in the problem