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Question

Evaluate (104)3


A

1142846

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B

1124864

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C

1124844

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D

1142864

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Solution

The correct option is B.1124864

Given: (104)3=(100+4)3
As we know that the (a+b)3=a3+b3+3ab(a+b)
Substitute a=100 and b=4 in above formula, we get
(100+4)3=(100)3+(4)3+3(100)(4)(100+4)
=1000000+64+1200(104)
=1000064+124800
(100+4)3=1124864


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