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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