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Thanks for your help.

So if i were to expand (1+x)^n-1 would it be, n-1C0 + n-1C1x + n-1C2x^2 + ... + n-1Ck-1x^k-1 + n-1Ckx^k + ... + n-1Cn-1x^n-1?

I understand what you mean, but i'm unsure on how to get the coeff of x^k on the RHS. Thanks.

Use (1+x)^n=(1+x)(1+x)^n-1 to prove that nCk= n-1Ck + n-1Ck-1 Thanks.

how does (nC0).(nC2)x^2 cancel out?

Thanks for pointing the mistake out, I was tired. :smile:

Can you please explain the theory of the steps involved in solving this question, as I'm struggling with these types of questions. Also, any tips on proof questions relating to binomial theorem would be much appreciated. Thanks for your help.

Dual degree in, Advanced Science/Engineering where I triple major in physics, mathematics and aeronautical engineering at UNSW, if all goes well.

https://drive.google.com/open?id=0B_RlXPQTW1cRYktRTWhFTGFhcjQ Thanks.

I plan on teaching myself the whole HSC 2 unit maths course.

Earlier today I was also trying to locate past HSC papers but I couldn't find them, so I searched up the exam paper on google. e.g. HSC Chemistry Exam 2016

Thanks

https://drive.google.com/open?id=0B_RlXPQTW1cRS0doZjlOQ0E0d0U How do I attempt question b? Any help would be greatly appreciated. Thanks.

https://drive.google.com/open?id=0B_RlXPQTW1cRQUlmYURxeWZjZkE Any help would be greatly appreciated. Thanks

Thanks

https://drive.google.com/open?id=0B_RlXPQTW1cRUEhNMmR6RlB1X28 I need help with question c) Any help would be greatly appreciated, Thanks.

Can you show me how you would do it? I ended up with really ugly equations and got an answer of cos114˚44', now I'm really not sure on what to do. Thanks

So P would be the midpoint of the slanted edge OB and joined to A? Just making sure the diagram is correct.

https://drive.google.com/open?id=0B_RlXPQTW1cRUGtuc3JJTEVPTU0 I need help with question b), I've tried many variations but I couldn't get the correct answer but I'm probably overthinking it, (i just need to know the angle). Thanks for the help.

Thank you