Question

factorise x² + 2√3x - 24

Answer 1

=x²+2√3x-24
=x²+4√3x-2√3x-24
=x(x+4√3)-2√3(x+4√3)
=(x+4√3)(x-2√3)

Answer 2

${x}^{2} + 4 \sqrt{3} x - 2 \sqrt{3} x - 24 \\ = x |x + 4 \sqrt{3} | - 2 \sqrt{3} x \times |x + 4 \sqrt{3} | \\ = |x + 4 \sqrt{3} | |x - 2 \sqrt{3} |$