Question
Factorise the following:$6 \sqrt{3} x^2-19 x+5 \sqrt{3}$
✓
Answer
$6 \sqrt{3} x^2-19 x+5 \sqrt{3} $
$=6 \sqrt{3} x^2-10 x-9 x+5 \sqrt{3} $
$=2 x(3 \sqrt{3} x-5)-\sqrt{3}(3 \sqrt{3} x-5) $
$=(3 \sqrt{3} x-5)(2 x-\sqrt{3}) .$
$=6 \sqrt{3} x^2-10 x-9 x+5 \sqrt{3} $
$=2 x(3 \sqrt{3} x-5)-\sqrt{3}(3 \sqrt{3} x-5) $
$=(3 \sqrt{3} x-5)(2 x-\sqrt{3}) .$
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