[tex]n= \overline{a4} \cdot \overline{a6} + 1 \\
n = (10a + 4)(10a+6)+1 \\
n= 100a^2 + 40a + 60a +24 + 1 \\
n = 100a^2 + 100a + 25 \\
n = (10a)^2 + 2\cdot (10a) \cdot 5 + 5^2 \\
\text{Aplicam formula: } a^2 + 2ab + b^2 = (a+b)^2 \\
\Longrightarrow~~n = (10a)^2 + 2\cdot (10a) \cdot 5 + 5^2 =
\boxed{(10a+5)^2 = pp}[/tex]
