Question

use suitable identities to find following products X square + 1 by x square x square minus 1 by x square​

Answer 1

Given: The equation (x^2+1/x^2)(x^2-1/x^2)​

To find: The product?

Solution:

• Now we have given the term as:

                (x^2 + ( 1 / x^2 ) ) × ( x^2 - ( 1 / x^2 ))​

• Now we have the identity:

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

• So using this identity, we get:

                (x^2 + ( 1 / x^2 ) ) × ( x^2 - ( 1 / x^2 ))​ = (x^2)^2 - (1/ x^2)^2

• Solving further and simplifying, we get:

                (x^2 + ( 1 / x^2 ) ) × ( x^2 - ( 1 / x^2 ))​ = x^4 - 1 / x^4

Answer:

           So the value of given term is x^4 - 1 / x^4.