We have to evaluate the expression for the given values of the variables:
[tex]\begin{gathered} (x+2y)^2 \\ x=2 \\ y=4 \\ \longrightarrow(2+2\cdot4)^2=(2+8)^2=10^2=100 \end{gathered}[/tex]We replace the value of x by 2 and y by 4 and solve.
The value for the expression is 100.