Question

Factorise 4√3x×x + 5x 2√3​

Answer 1

4√3 x² +5x -2√3 =0

⇒4√3 x² +8x -3x -2√3=0

⇒4x(√3 x+2) -√3(√3x +2) =0

⇒(√3x +2)(4x -√3) =0

⇒(√3x +2) =0 or (4x-√3) =0

⇒x = -2/√3 or √3/4

Answer 2

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$4 \sqrt{3}{x}^{2} + 5x - 2 \sqrt{3}$

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

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

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

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