Question

Using suitable identity evaluate: (103)3

Answer 1

(100+3)cube
(100)cube+(3)cube+3(100)(3)+(100+3)
1000000+27+900(103)
1000027+92700
1092727

Answer 2

HEYA!!
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$= > > (103) {}^{3} \\ \\ = (100 + 3) {}^{3} \\ \\ = > using \: identity \: \: (a + b) {}^{3} = a {}^{3} + b {}^{3} + 3ab(a + b) \\ \\ = > > we \: have \: \: \\ \\ 100 {}^{3} + 3 {}^{3} + 3 \times 100 \times 3(100 + 3) \\ \\ 1000000 + 27 + 900(103) \\ \\ = > > 1092727$
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