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  • Evaluate the following using suitable identities: (ii) (102) ^3

7.(ii) Evaluate the following using suitable identities:

    (ii) (102)^3

Answers (1)

best_answer

We can rewrite   (102)^3  as

\Rightarrow (102)^3=(100+2)^3

We will use identity

(a+b)^3=a^3+b^3+3a^2b+3ab^2

Here,  a=100 \ and \ \ b= 2

Therefore, 

(100+2)^1=(100)^3+(2)^3+3.(100)^2.2+3.100.2^2

                      = 1000000+8+60000+1200= 1061208

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Riya

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