Question

Descompuneti in factori (x-radical din 3)^2-48

Answer 1

${(x - \sqrt{3} )}^{2} - 48 = {(x - \sqrt{3} )}^{2} - {(4 \sqrt{3}) }^{2}$

$a = x - \sqrt{3}$

$b = 4 \sqrt{3}$

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

$= (x - 5 \sqrt{3} )(x + 3 \sqrt{3} )$

Formulă :

${a}^{2} - {b}^{2} = (a - b)(a + b)$