Question
Factorize the following expressions : $x^2-\frac{1}{x^2}$
✓
Answer
$x^2-\frac{1}{x^2}$
Here $a=x, b=\frac{1}{x}$
$
\begin{aligned}
& x^2-\left(\frac{1}{x}\right)^2=\left(x+\frac{1}{x}\right)\left(x-\frac{1}{x}\right) \\
& \ldots .\left[\left(a^2-b^2\right)=(a+b)(a-b)\right]
\end{aligned}
$
Here $a=x, b=\frac{1}{x}$
$
\begin{aligned}
& x^2-\left(\frac{1}{x}\right)^2=\left(x+\frac{1}{x}\right)\left(x-\frac{1}{x}\right) \\
& \ldots .\left[\left(a^2-b^2\right)=(a+b)(a-b)\right]
\end{aligned}
$
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