Question

101×102×103 nikhilam questions

Answer 1

ans is 1,061,106 ............

Answer 2

Solution:

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Given:

The value of,

101 x 102 x 103

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We can write the data in the following manner,

101 x 102 x 103

101 => 100 + 1,.

102 => 100 + 2,.

103 => 100 + 3,.

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So,

101 x 102 x 103

=> (100 + 1)(100 + 2)(100 + 3)

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We know that,


(x + a)(x + b)(x + c) = x³ + (a + b + c)x² + (ab + bc + ac)x + abc

=> (100 + 1)(100 + 2)(100 + 3) = (100)³ + (1+ 2 + 3) (100²) + ((1)(2)+(2)(3)+
(1)(3))(100) + (1)(2)(3)

=> (100 + 1)(100 + 2)(100 + 3) = 10,00,000 + (6)(10,000) + (2 + 6 + 3)(100) + 6

=> (100 + 1)(100 + 2)(100 + 3) = 10,00,000 + 60,000 + 11(100) + 6

=> (100 + 1)(100 + 2)(100 + 3) = 10,00,000 + 60,000 + 1,100 + 6

=> 101 x 102 x 103 = 10,61,106

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