Question

Please send it fast with explanation- Factorise - x^3 + 1/x^3

Answer 1

Answer:

$(x+\frac{1}{x})({x}^2-1+\frac{1}{{x}^2})$

Step-by-step explanation:

${x}^3+\frac{1}{{x}^3}$

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

$<strong>{a}^3+{b}^3=(a+b)({</strong><strong>a</strong><strong>}^</strong><strong>2-ab</strong><strong>+{</strong><strong>b</strong><strong>}^2)</strong>$

$(x+\frac{1}{x})[{(x)}^2-(x*\frac{1}{x})+{(\frac{1}{x})}^2]$

$(x+\frac{1}{x})({x}^2-1+\frac{1}{{x}^2})$