Question

Find the product by using appropriate identities : (a+b)(a^2+ab+b^2)(a^2-ab+b)(a-b)

Answer 1

(a+b)(a^2-ab+b^2)=a^3+b^3

(a-b)(a^2+ab+b^2)=a^3-b^3

Hence the product is (a^3+b^3)*(a^3-b^3)=a^6-b^6