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If (1012 + 25)2 - (1012 - 25)2 = 10n, then the value of n is :
Answer & Solution
Correct Answer:
Option
C
(1012 + 25)2 - (1012 - 25)2
= 4 × 1012 × 25
[∵ (a + b)2 - (a - b)2 = 4ab]
= 1012 × 100
= 1012 × 102
= 1014
Hence, n = 14
= 4 × 1012 × 25
[∵ (a + b)2 - (a - b)2 = 4ab]
= 1012 × 100
= 1012 × 102
= 1014
Hence, n = 14
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