Answer
The solution below shows that $(x+y)^5$ is not equal to $x^5+y^5.$
Work Step by Step
Substituting $x=3$ and $y=4,$ the given expression, $
(x+y)^5
,$ evaluates to
\begin{array}{l}\require{cancel}
(3+4)^5
\\\\=
(7)^5
\\\\=
16,807
,\end{array}
while the given expression, $
x^5+y^5
,$ evaluates to
\begin{array}{l}\require{cancel}
3^5+4^5
\\\\=
243+1024
\\\\=
1,270
.\end{array}