Question

(3/x - x/3) (x*2/9+9/x*2+1)​

Answer 1

Answer:

$= \frac{27} {x^{3}} - \frac{x^{3}} {27}$

Step-by-step explanation:

$(\frac{3}{x} - \frac{x}{3} )(\frac{x^{2} }{9} + \frac{9}{x^{2} } + 1)$

$(\frac{3}{x} - \frac{x}{3} )(\frac{9}{x^{2} } + 1 + \frac{x^{2} }{9})$

$= (\frac{3}{x} - \frac{x}{3} )[(\frac{3}{x} )^{2} + \frac{3}{x} .\frac{x}{3} + (\frac{x}{3})^{2}]$

$= (\frac{3}{x} )^{3} - (\frac{x}{3} )^{3}$ [$a^{3} - b^{3} = (a - b)(a^{2} + ab + b^{2} )$]

$= \frac{27} {x^{3}} - \frac{x^{3}} {27}$