Hi, I'm 13 years old and I'm from India. I just found out about the forum. Looking a some posts over here, I see that you guys are uber geniuses and I thought that you could provide me a helping hand.

1) If x+y+z=0, show that x³+y³+z³ = 3xyz.

2) If a+b+c=6, a²+b²+c²=14 and a³+b³+c³=26, then find the value of abc.

3) Find x³-1/x³ if x-1/x=a

4) Find x³+1/x³ if x+1/x=4

5) Find x³+1/x³ if x+1/x=√3 (That last sign is a root sign)

6) If x+1/x=p then show that x³+1/x³=p(p²-3)

These are only 6 sums out of about 11 or so. I don't like posting so many either but I can't understand anything. Like in say the 3rd sum, I've been taught how do you solve if the ³ was replaced by a ².

P.S. I'm yet learning the code the PHP or whatever code, so please forgive me for the way I'm posting.

Edit: I thought it'd be better if I posted in a more decent manner now. Thank you guys!