Factorize the following expression : \(x^2 – 2\sqrt{2}x – 30\)
\[
x^2 – 2\sqrt{2}x – 30
\]
\[
= x^2 – 5\sqrt{2}x + 3\sqrt{2}x – 30
\]
\[
= x(x – 5\sqrt{2}) + 3\sqrt{2}(x – 5\sqrt{2})
\]
\[
= (x – 5\sqrt{2})(x + 3\sqrt{2})
\]