Q417
If (1012 + 25)2 - (1012 - 25)2 = 10n, then the value of n is :
A.
5
B.
10
C.
14
AnswerD.
20
Answer: Option C
Solution
Answer: Option C
Solution:
(1012 + 25)2 - (1012 - 25)2= 4 × 1012 × 25
[∵ (a + b)2 - (a - b)2 = 4ab]
= 1012 × 100
= 1012 × 102
= 1014
Hence, n = 14