Factorize the following expression : \(x^2 + 2\sqrt{3}x – 24\)
\[
x^2 + 2\sqrt{3}x – 24
\]
\[
= x^2 + 6\sqrt{3}x – 4\sqrt{3}x – 24
\]
\[
= x(x + 6\sqrt{3}) – 4\sqrt{3}(x + 6\sqrt{3})
\]
\[
= (x + 6\sqrt{3})(x – 4\sqrt{3})
\]