Question

using Identity find the product of each of the following


( x²+1+y) (x²+1-y)​

Answer 1

Answer:

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