Question

Doy corona al que resuelva uno o todos los problemas bien

Answer 1

6.

$\frac{(x^6-1)(x+1)}{(x^2-1)(x^4+x^2+1)} = \frac{(x^6-1)(x+1)}{x^6+x^4+x^2-x^4-x^2-1} = \frac{(x^6-1)(x+1)}{x^6-1} = x+1$

7.

$E=\frac{x^2+\frac{1}{x} }{x-\frac{1}{x}-1 } = \frac{\frac{x^3+1}{x} }{\frac{x^2+1-x}{x} } = \frac{x^3+1}{x^2+1-x} = \frac{(x+1)(x^2-x+1)}{x^2-x+1} = x+1$