What is the simplified value of $$left( {x + frac{1}{x}} right)left( {{x^2}

MCQ Practice

What is the simplified value of $$left( {x + frac{1}{x}} right)left( {{x^2} + frac{1}{{{x^2}}}} right)left( {{x^4} + frac{1}{{{x^4}}}} right)left( {{x^8} + frac{1}{{{x^8}}}} right)left( {{x^{16}} + frac{1}{{{x^{16}}}}} right){text{is:}}$$

Subject: MathematicsTopic: Algebra

$$frac{{left( {{x^{64}} - frac{1}{{{x^{64}}}}} right)}}{{left( {x - frac{1}{x}} right)}}$$

$$frac{{left( {{x^8} - frac{1}{{{x^8}}}} right)}}{{left( {x - frac{1}{x}} right)}}$$

$$frac{{left( {{x^{16}} - frac{1}{{{x^{16}}}}} right)}}{{left( {x - frac{1}{x}} right)}}$$

$$frac{{left( {{x^{32}} - frac{1}{{{x^{32}}}}} right)}}{{left( {x - frac{1}{x}} right)}}$$

Correct Answer: D