Question

Fatore: (√ 2 + x /√2)^ 3

Answer 1

Resposta: $2\sqrt{2} + 3\sqrt{2} *x + \frac{3\sqrt{2}*x^{2} }{2} + \frac{\sqrt{2}*x^{3} }{4}$

Explicação passo-a-passo:

$((\sqrt{2} + \frac{x}{\sqrt{2} })^{2})*(\sqrt{2} + \frac{x}{\sqrt{2} }) <=>\\<=> ((\sqrt{2} )^{2} + 2*\sqrt{2} * \frac{x}{\sqrt{2} } + (\frac{x}{\sqrt{2} })^{2}) * (\sqrt{2} + \frac{x}{\sqrt{2} }) <=> \\<=> (2 + 2*x+ \frac{x^{2} }{2} ) * (\sqrt{2} + \frac{x}{\sqrt{2} }) <=>\\\\<=> 2\sqrt{2} + \frac{2*x}{\sqrt{2} } + 2\sqrt{2}*{x} + \frac{2*x^{2} }{\sqrt{2} } + \frac{\sqrt{2} *x^{2} }{2} + \frac{x^{3} }{2\sqrt{2} } <=>$

$<=> 2\sqrt{2} +\frac{2\sqrt{2}*x }{2} + 2\sqrt{2} *x + \frac{2\sqrt{2}*x^{2} }{2} + \frac{\sqrt{2}*x^{2} }{2} + \frac{x^{3}*\sqrt{2} }{4} <=>\\<=> 2\sqrt{2} + 3\sqrt{2} *x + \frac{3\sqrt{2}*x^{2} }{2} + \frac{\sqrt{2}*x^{3} }{4}$