Solve: 50 (x)^2 - 2x^2 81 - Vidyadip

Question

Solve:
$\frac{50}{(\text{x})^2}-\frac{2\text{x}^2}{81}$

✓

Answer

$\frac{50}{(\text{x})^2}-\frac{2\text{x}^2}{81}$
$=2\Big(\frac{25}{(\text{x})^2}-\frac{\text{x}^2}{81}\Big)$
$=2\Big\{\frac{25}{(\text{x})^2}-\frac{2\text{x}^2}{81}\Big\}$
$=2\Big(\frac{5}{\text{x}}-\frac{\text{x}}{9}\Big)\Big(\frac{5}{\text{x}}+\frac{\text{x}}{9}\Big)$

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