Question

$Factorise the following: \: 4 \sqrt{3} {x}^{2} + 5x - 2 \sqrt{3}$
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Answer 1

Answer:

$4 \sqrt{3} {x}^{2} + 5x - 2 \sqrt{3} \\ \\ = 4 \sqrt{3} {x}^{2} + 8x - 3x - 2 \sqrt{3} \\ \\ = 4x( \sqrt{3} x + 2) - \sqrt{3} ( \sqrt{3}x + 2) \\ \\ = ( \sqrt{3} x + 2)(4x - \sqrt{3} )$