Question

if a+b=4 then a3+b3=?

Answer 1

is that the only data given ??

Answer 2

Go go go Govinda!

Answer 3

Do you know what \(ab\) is?

Answer 4

There's many solutions...

Answer 5

There's infinite solutions in fact...

Answer 6

Yeah actually there would be, I think even if it's limited to integers

Answer 7

Do you have any extra info?
Right now there are infinitely many solutions as Parthkohli already mentioned

Answer 8

No extra information is there Mr. Meepi.

Answer 9

a+b=4 .. a^3+b^3=4^3? So a^3+b^3=64

Answer 10

Doesn't work that way:
a + b = 4 gives
(a + b)^3 = 4^3
\[\left(a+b\right)^3=\left(\begin{matrix}3 \\ 0\end{matrix}\right)a^3+\left(\begin{matrix}3 \\ 1\end{matrix}\right)a^2b + \left(\begin{matrix}3 \\ 2\end{matrix}\right)ab^2+\left(\begin{matrix}3 \\ 3\end{matrix}\right)b^3=a^3+3a^2b+3ab^2+b^3\]
IE:
\[a^3 + b^3=64-3ab(a+b)=64-12ab\]
But you can't get any further than that since you don't know the product ab