Question

2x^2-under root 3x-3 factorise

Answer 1

Answer:

$\red { Factors \:of \: 2x^{2} - \sqrt{3} x - 3}$

$\green {= (x-\sqrt{3})(2x +1 )}$

Step-by-step explanation:

$2x^{2} - \sqrt{3} x - 3$

/* Splitting the middle term, we get

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

$= 2x(x- \sqrt{3} ) + \sqrt{3} (x-\sqrt{3})\\= (x-\sqrt{3})(2x +1 )$

Therefore.,

$\red { Factors \:of \: 2x^{2} - \sqrt{3} x - 3}$

$\green {= (x-\sqrt{3})(2x +1 )}$

•••♪