Factorize the following expression : \(5\sqrt{5}x^2 + 20x + 3\sqrt{5}\)
\[
5\sqrt{5}x^2 + 20x + 3\sqrt{5}
\]
\[
= 5\sqrt{5}x^2 + 15x + 5x + 3\sqrt{5}
\]
\[
= 5x(\sqrt{5}x + 1) + 3\sqrt{5}(\sqrt{5}x + 1)
\]
\[
= (\sqrt{5}x + 1)(5x + 3\sqrt{5})
\]