Question

Using suitable identities, find the value of \(102^3\).

Answer 1

Using the identity,
\((a+b)^3 = a^3+b^3+3ab(a+b)\),

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

\(=100^3+ 2^3 +3×100×2(100+2)\)

\(=1000000+8+61200\)

\(=1061208\)