factorizar x^4+2x^3-8x-16

Solución

factorizar

x^{4} + 2 x^{3} - 8 x - 16

(x + 2) (x - 2) (x^{2} + 2 x + 4)

Pasos de solución

x^{4} + 2 x^{3} - 8 x - 16

= (x^{4} + 2 x^{3}) + (- 8 x - 16)

Factorizar

x^{3}

x^{4} + 2 x^{3}

x^{3} (x + 2)

Factorizar

- 8

- 8 x - 16

- 8 (x + 2)

= x^{3} (x + 2) - 8 (x + 2)

Factorizar el termino común

x + 2

= (x + 2) (x^{3} - 8)

Factorizar

x^{3} - 8 : (x - 2) (x^{2} + 2 x + 2^{2})

= (x + 2) (x - 2) (x^{2} + 2 x + 2^{2})

2^{2} = 4

= (x + 2) (x - 2) (x^{2} + 2 x + 4)

x - (- x)

\frac{sin ( x )}{1 + sin ( x )}

e^{(2 l n (x))}

(6^{x + 1}) (6^{x - 1})

1 0^{- 5.5}