Question

Q.) Expand:
1)
$(a - \frac{1}{a} )2$
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Answer 1

see image for explanation and have a great day friend

Answer 2

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$= \: a {}^{2} - 2 + \: \frac{1}{a {}^{2} }$

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$(a \: + b) {}^{2} \: \: a = {}^{2} + 2ab \: + b \\ {}^{2} \: and \: \: (a - b) {}^{2} = a {}^{2} \: - 2ab + 2b$

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

$=( a \: ) {}^{2} \: - 2 \: \times (a) \: \times ( \frac{1}{a} \: ) + (\frac{1}{a} ) {}^{2}$

$= \: a {}^{2} \: - \: 2 \: + \: \frac{1}{a {}^{2} }$

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