These are the problems I need to have a solution. I hope, you can help me.. :)

1) The sum of all the positive factors of integer x is 24. If one of the factors is 3, what is the value of x?

2)Prove that the sum of the cubes of 3 consecutive numbers is divisible by 9.

3) Prove that \(x^{2n} - y^{2n}\) has a factor \(x+y\).

4) Prove that \(x^{2n+1} + y^{2n+1}\) has a factor \(x+y\).

5) Prove that \(Area(Isosceles Triangle) = (a^{2})(sinβ)(cosβ)\) where \(β\) = measure of the 2 equal angle and \(a\) = length of the 2 equal sides.

I think, this is too easy for you so, I hope, you can give me some solutions. :D

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