Question
Factorise the following:$2 \sqrt{5} x^2-7 x-3 \sqrt{5}$
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Answer
$2 \sqrt{5} x^2-7 x-3 \sqrt{5} $
$=2 \sqrt{5} x^2-10 x+3 x-3 \sqrt{5} $
$ =2 \sqrt{5} x(x-\sqrt{5})+3(x-\sqrt{5})$
$ =(x-\sqrt{5})(2 \sqrt{5} x+3) .$
$=2 \sqrt{5} x^2-10 x+3 x-3 \sqrt{5} $
$ =2 \sqrt{5} x(x-\sqrt{5})+3(x-\sqrt{5})$
$ =(x-\sqrt{5})(2 \sqrt{5} x+3) .$
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