Question

Solve through middle term splitting:-
6x²- 5√3 x+ 3

Answer 1

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Solve through middle term splitting:

$\large{↪}$$6x^2-5\sqrt{3}x-3$

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$(6x+\sqrt{3})(x-\sqrt{3})$

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$☞ \: \: \: \: 6 {x}^{2} - 5 \sqrt{3} x - 3$

3 can be written as $\sqrt{3}\times\sqrt{3}$.

$\\☞ \: \: \: \: 6 {x}^{2} - 6 \sqrt{3} x + \sqrt{3} x - ( \sqrt{3} \times \sqrt{3} )$

Taking out 6x common from first and second term and $\sqrt{3}$ common from third and fourth term.

$\\ ☞ \: \: \: \: 6x(x - \sqrt{3} ) + \sqrt{3} (x - \sqrt{3 } )$

$\\ ☞ \: \: \: \: (6x + \sqrt{3} )(x - \sqrt{3} )$

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