Question

Find the product by suitable identity (x + 1/x) (x - 1/x) (x 2 + 1/x 2 ) (x 4 + 1/x 4 )

Answer 1

Given,

A given algebraic expression = (x + 1/x) (x - 1/x) (x ^ 2 + 1/x ^ 2 ) (x ^ 4 + 1/x ^ 4 )

To find,

The product of the given expression.

Solution,

We can simply solve this mathematical problem using the following process:

For two variables "a" and "b", an algebraic identity is such that,

(a+b)(a-b) = a^2 - b^2 (Identity 1)

Now, we can evaluate the given expression as follows:

(x + 1/x) (x - 1/x) (x ^ 2 + 1/x ^ 2 ) (x ^ 4 + 1/x ^ 4 )

= {(x + 1/x) (x - 1/x)} (x ^ 2 + 1/x ^ 2 ) (x ^ 4 + 1/x ^ 4 )

= {(x ^ 2 - 1/x ^ 2 )(x ^ 2 + 1/x ^ 2 )} (x ^ 4 + 1/x ^ 4 )

(By using the identity 1)

= {(x ^ 4 - 1/x ^ 4 )(x ^ 4 + 1/x ^ 4 )}

(By using the identity 1)

= x^8 - 1/x^8 (By using the identity 1)

Hence, the final product of the given algebraic expression is equal to x^8 - 1/x^8.

Answer 2

Answer:

ans is xby 1 aga mujhe khud nhi ata hai