Question

simplify: $(x^3+\frac{1}{x^3})(x^3-\frac{1}{x^3})$

Answer 1

$(x^3+(\frac{1}{x^3}\left)\right)(x^3-(\frac{1}{x^3}\left)\right)use(a+b)(a-b)=a^2-b^2\therefore value=(x^3{)}^2-(x\left(\frac{1}{x^3}{)}^2\right)=x^6-\left(\frac{1}{x^6}\right)$