Find the product. (a3 + 8)(a3 – 8)

a.) a6 – 16n3 + 64

b.) a6 – 16n3 – 64

c.) a6 – 512

d.) a6 – 64

Option: D is the correct answer.

The product is:

       D.    

We are asked to simplify the given algebraic expression i.e. we have to find the product of two algebraic expressions, which are a polynomial in terms of "a"

As both are cubic polynomial so there product will be a six-degree polynomial.

( Since on  multiplying the degree gets add up )

                   The expression is as follows:

We know that:

Hence we get the product as:

                 Hence, the product is:

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.