Using suitable identity evaluate (103) [103][103]

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Solution

$103 \times 103 \times 103 = {(103)}^{3} = {(100 + 3)}^{3} = {(100)}^{3} + {(3)}^{3} + 3 \times 100 \times 3 (100 + 3) = 1000000 + 27 + 900 \times 103 = 1000000 + 27 + 92700 = 1092727$

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