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


Răspuns :

[tex] {(x - \sqrt{3} )}^{2} - 48 = {(x - \sqrt{3} )}^{2} - {(4 \sqrt{3}) }^{2} [/tex]

[tex]a = x - \sqrt{3} [/tex]

[tex]b = 4 \sqrt{3} [/tex]

[tex] = (x - \sqrt{3} - 4 \sqrt{3} )(x - \sqrt{3} + 4 \sqrt{3} )[/tex]

[tex] = (x - 5 \sqrt{3} )(x + 3 \sqrt{3} )[/tex]

Formulă :

[tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex]