Sorry Dilbert, but it doesn't work like that, because as feelgood mentioned, you only squared the 3, you didn't cube it. You're also basing your solution on the theory that a^n + b^n = (a+b)^n, which is false.
We can plug in some random numbers to prove that this is false:
a=4, b=7, n=3
4^3 + 7^3 = 407
(4 + 7)^3 = 1331
407 is not equal to 1331
Thanks for giving it a shot though