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Question

Evaluate (102)3 using suitable identities


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Solution

Given expression can be written as

(102)3=(100+2)3

We know that
(a+b)3=a3+b3+3ab(a+b)

(100+2)3=(100)3+(2)3+3×100×2(100+2)=1000000+8+600(102)=1000000+8+61200=1061208

Hence we get 1061208 after simplification.


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