Factorise:

Question:

Factorise:

$x^{2}+2 \sqrt{3} x-24$

 

Solution:

$x^{2}+2 \sqrt{3} x-24$

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

$=x(x+4 \sqrt{3})-2 \sqrt{3}(x+4 \sqrt{3})$

$=(x+4 \sqrt{3})(x-2 \sqrt{3})$

 

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