MCQ
Tick $(\checkmark)$ the correct answer:$\Big(\frac{1}{\text{x}}+\frac{1}{\text{y}}\Big)\Big(\frac{1}{\text{x}}-\frac{1}{\text{y}}\Big)=?$
  • $\Big(\frac{1}{\text{x}^2}-\frac{1}{\text{y}2}\Big)$
  • B
    $\Big(\frac{1}{\text{x}^2}+\frac{1}{\text{y}2}\Big)$
  • C
    $\Big(\frac{1}{\text{x}^2}+\frac{1}{\text{y}^2}-\frac{1}{\text{xy}}\Big)$
  • D
    $\Big(\frac{1}{\text{x}^2}-\frac{1}{\text{y}^2}+\frac{1}{\text{xy}}\Big)$

Answer

Correct option: A.
$\Big(\frac{1}{\text{x}^2}-\frac{1}{\text{y}2}\Big)$
$\Big(\frac{1}{\text{x}}+\frac{1}{\text{y}}\Big)\Big(\frac{1}{\text{x}}-\frac{1}{\text{y}}\Big)$
$=\Big(\frac{1}{\text{x}}\Big)^2-\Big(\frac{1}{\text{y}}\Big)^2$
$=\frac{1}{\text{x}^2}-\frac{1}{\text{y}^2}$

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