Q1 of 36 Page 25

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(101)3

(101)3 =(100 + 1)3


(100 + 1)3 =(100)3 + [ 3 ×(100)2 ×(1)] + [ 3 ×(100)×(1)2 ] +(1)3


{ ∵(a + b)3 = a3 + 3a2b + 3ab2 + b3 }


= 1000000 +(3 × 10000 × 1) +(3 × 100 × 1)+ 1


= 1000000 + 30000 + 300 + 1


= 1030301


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