x2 - 1/x2 এর উৎপাদক দুইটির অন্তর ফল কত?
Solution
Correct Answer: Option A
x2 - 1/x2 = x2 - (1/x)2
= (x+ 1/x) (x - 1/x)
∴ (x+ 1/x) - (x - 1/x) = 2/x
আবার,
(x - 1/x) (x + 1/x)
= (x - 1/x) - (x + 1/x)= - 2/x
= (x+ 1/x) (x - 1/x)
∴ (x+ 1/x) - (x - 1/x) = 2/x
আবার,
(x - 1/x) (x + 1/x)
= (x - 1/x) - (x + 1/x)= - 2/x
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