Question

find the product using a suitable identity ​

Answer 1

Answer:

the answer is a^8 -1/a^8

Step-by-step explanation:

we know that, (a-b)(a+b) = a^2 - b^2

hence, (a -1/a)(a +1/a)(a^2 +1/a^2)(a^4 +1/a^4)

= (a^2 -1/a^2)(a^2 +1/a^2)(a^4 +1/a^4)

= (a^4 -1/a^4)(a^4 +1/a^4)

= (a^8 -1/a^8)