Proving (a+b+c)^3=a^3+b^3+c^3 Leads to (a+b+c)^5=a^5+b^5+c^5

[ashrafmod]

show that
(a+b+c)^3=a^3+b^3+c^3
implies that
(a+b+c)^5=a^5+b^5+c^5

 

[matt grime]

What have you tried to do?

 

[berkeman]

Moved to homework forum.

 

[AngeloG]

The first step you could do is put in numbers and verify it works numerically =).

Let's say

x * y^2 = x * y * y
x = 3, y = 2

3 * 2^2 = 12. (3 * 4 = 12)
3 * 2 * 2.

3 * 2 * 2 = 3 * 4 = 12
3 * 2 = 6 -> 6 * 2 = 12.

Thus, they are the same since they end up with the same answer =).

 

[cristo]

The first step you could do is put in numbers and verify it works numerically =).

Let's say

x * y^2 = x * y * y
x = 3, y = 2

3 * 2^2 = 12. (3 * 4 = 12)
3 * 2 * 2.

3 * 2 * 2 = 3 * 4 = 12
3 * 2 = 6 -> 6 * 2 = 12.

Thus, they are the same since they end up with the same answer =).

But that's not a proof; that's just showing it for certain numbers.

ashrafmod: have you tried anything?