Question

Simplifique a expressão
((2x^2 - 4x + 8)(x^2 - 4)) /
raiz de 2 x^3 + raiz de 128

Questão 19)???
Passo a passo pfv
Resposta: raiz de 2 × (x - 2)

Answer 1

Resposta:

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√2x³ +√128 =√2 *(√x²+√64) =√2 *(x³+8)

**(x+2)³=x³+6x²+12x+2³

**(x+2)³=x³+8 +6x(x+2)

**x³+8=(x+2)³-6x*(x+2)

**x³+8 =(x+2)*[(x+2)²-6x]

**x³+8=(x+2)*(x²+4x+4-6x)

**x³+8=(x+2)*(x²-2x+4)

√2x³ +√128=√2 *(x+2)*(x²-2x+4)

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(2x²-4x+8)*(x²-4)/(√2x³ +√128)

2*(x²-2x+4)*(x-2)*(x+4)/[√2*(x+2)*(x²-2x+4)]

2*(x²-2x+4)*(x-2)/[√2*(x²-2x+4)]

=2*(x-2)/√2

=2*(x-2)*√2/(√2*√2)

=2*√2*(x-2)/2

= √2*(x-2)  é a resposta