Question

Is (a^4+b^4) the same as (a+b)^4

Answer 1

no.

Answer 2

\[(a+b)^4=a^4+4a^3b^2+6ab+4a^2b^3+b^4\]
we see a^4+b^4 on the right so they are not the same

Answer 3

for eg take a=2
and b=3
from (i)=a^4+b^4=2^2+3^4=16+81=97
while from (ii)=(a+b)^4=5^4=625
:)

Answer 4

do you know the FOIL method?
if so:
is (a^2 + b^2) the same as (a+b)^2
no because the 2nd is
(a+b)*(a+b) = a^2+2ab+b^2
same principle