Question

$a + \frac{1}{a } = a ^{2} + 1 = ?$

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Answer 1

a+1) (a-1) (a²+1)
[a(a-1)+1(a-1)] (a²+1)
(a² - a + a - 1) (a²+1)
(a² - 1) (a²+1)
( a²) ² - (1) ² _______[1]
[ since, (a+b) (a-b) = (a) ²- (b²) ]
= ans