Question

AYUDA .calcular x3 + 1/x3

Answer 1

Respuesta: SI NO ENTENDES UTILIZA CYMTH

Usa Suma de Cubos: {a}^{3}+{b}^{3}=(a+b)({a}^{2}-ab+{b}^{2})a  

3

+b  

3

=(a+b)(a  

2

−ab+b  

2

).

(x+\frac{1}{x})({x}^{2}-(x)(\frac{1}{x})+{(\frac{1}{x})}^{2})

(x+  

x

1

​

)(x  

2

−(x)(  

x

1

​

)+(  

x

1

​

)  

2

)

2 Usa Propiedad de la División Distributiva: {(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}(  

y

x

​

)  

a

=  

y  

a

 

x  

a

 

​

.

(x+\frac{1}{x})({x}^{2}-x\times \frac{1}{x}+\frac{1}{{x}^{2}})

(x+  

x

1

​

)(x  

2

−x×  

x

1

​

+  

x  

2

 

1

​

)

3 Cancela xx.

(x+\frac{1}{x})({x}^{2}-1+\frac{1}{{x}^{2}})

(x+  

x

1

​

)(x  

2

−1+  

x  

2

 

1

​

)

Explicación paso a paso: