Question : The cube of 105 is:
Option 1: 1157625
Option 2: 1175625
Option 3: 1185625
Option 4: 115826
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Correct Answer: 1157625
Solution :
Here, (105)
3
= (100 + 5)
3
= 100
3
+ 5
3
+ 3 × 100 × 5 × (100 + 5) [Using the formula (a + b)
3
= a
3
+ b
3
+ 3ab(a + b)]
= 1000000 + 125 + 1500 × (105)
= 1157625
Hence, the correct answer is 1157625.
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