Question

Find the product of the following binomials:
$(x^3+\frac{1}{x^3})(x^3–\frac{1}{x^3})$

Answer 1

(i) Let us find the product of the given expression

$x^3(x^3–\frac{1}{x^3})+\frac{1}{x^3}(x^3–\frac{1}{x^3})$

$x^6–1+1–\frac{1}{x^6}$

$x^6–\frac{1}{x^6}$