Question

find the product. (x-1) (x+1) (x^2 + 1) (x^4 + 1)​

Answer 1

Answer:

x 6-1

Step-by-step explanation:

(a  

3

−b  

3

)=a  

3

−a  

2

b+a  

2

b−ab  

2

+ab  

2

−b  

3

 

                 =(a  

3

−a  

2

b)+(a  

2

b−ab  

2

)+(ab  

2

−b  

3

)

                 =a  

2

(a−b)+ab(a−b)+b  

2

(a−b)

                 =(a−b)(a  

2

+ab+b  

2

)

Now, given (x  

2

−1)(x  

4

+x  

2

+1)

=(x  

2

−1)((x  

2

)  

2

+x  

2

(1)+1  

2

)

=((x  

2

)  

3

−1  

3

)

=x  6 −1