Question

√3x^2+5x+2√3 factorise how? with steps to understand ​

Answer 1

Answer:

$\huge\underline{ \underline{ \red {your \: \: \: answer}}}$

$\large\boxed{ \fcolorbox{red}{pink}{hope \: it \: help \: you}}$

Step-by-step explanation:

$\bf\red{ \implies: { \sqrt{3} x}^{2} + 5x + 2 \sqrt{3} = 0 } \\ \\ \bf\pink{ \implies: { \sqrt{3} x}^{2} + (3x + 2x) + 2 \sqrt{3} = 0\: \: \: \: \: \: \bf\green{ \{ \therefore 2 \sqrt{3} \times \sqrt{3} = 6(3x + 2x= 5x \: and \: 3x \times 2x = 6 {x}^{2} ) \} = } } \\ \\ \bf\orange{ \implies: { \sqrt{3} {x}^{2} + 3x + 2x + 2 \sqrt{3} } = 0} \\ \\ \bf\blue{ \implies: \sqrt{3}x(x + \sqrt{3} ) + 2(x + \sqrt{3}) = 0 } \\ \\ \bf\green{ \boxed{ \bigstar \implies:( \sqrt{ 3}x + 2 )(x + \sqrt{3} ) = 0 \: \bigstar}} \\ \\ \bf\purple{ \sqrt{3}x + 2 = 0 } \\ \bf\red{ \implies x = \frac{ - 2}{ \sqrt{3} } } \\ \\ \bf\pink{x + \sqrt{3} = 0 } \\ \bf\blue{ \implies:x = - \sqrt{3} }$