Question

Simplifique a expressão:

((2x^2 - 4x + 8)(x^2 - 4))

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_/2 × x^3 + _/128


Resposta: _/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)___________________________________

(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