Factorise:

Question:

Factorise:

$x^{2}-3 \sqrt{5} x-20$

 

Solution:

$x^{2}-3 \sqrt{5} x-20$

$=x^{2}-4 \sqrt{5} x+\sqrt{5} x-20$

$=x(x-4 \sqrt{5})+\sqrt{5}(x-4 \sqrt{5})$

$=(x-4 \sqrt{5})(x+\sqrt{5})$

 

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