I need Solutions...

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

#Algebra

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Cabanting Perez Francis - 6 years, 4 months ago

15; I just narrowed down my choices from over six and under 24 exclusive, then I used trial and error to find the answer.

tytan le nguyen - 6 years, 4 months ago

Kababayan!

Cabanting Perez Francis - 6 years, 4 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$