Factorise:

Question:

Factorise:

$x^{2}-\sqrt{3} x-6$

 

Solution:

$x^{2}-\sqrt{3} x-6$

$=x^{2}-2 \sqrt{3} x+\sqrt{3} x-6$

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

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

 

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