(a-1 a )^2 Here A=a and B=1 a & (a-1 a )^2=a^2-2 a 1 a + (1 a )^2 & .... [(A-B)^2=A^2-2 A B+B^2 ] & (a-1 a )^2=a^2-2+1 a^2 &

Expand : (a-1 a )^2

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Expand : $\left(a-\frac{1}{a}\right)^2$

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$\left(a-\frac{1}{a}\right)^2$
Here $A=a$ and $B=\frac{1}{a}$
$
\begin{aligned}
& \left(a-\frac{1}{a}\right)^2=a^2-2 \times a \times \frac{1}{a}+\left(\frac{1}{a}\right)^2 \\
& \text {.... }\left[(A-B)^2=A^2-2 A B+B^2\right] \\
& \therefore \quad\left(a-\frac{1}{a}\right)^2=a^2-2+\frac{1}{a^2} \\
&
\end{aligned}
$

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