Question

simply 103 to the power 3

Answer 1

103³

( 100 + 3 )³

( a + b )³ = a³ + b³ + 3a²b + 3ab²

( 100 + 3 )³ = ( 100 )³ + ( 3 )³ + 3 ( 100 )² ( 3 ) + 3 ( 100 ) ( 3 )²

( 100 + 3 )³ = 1000000 + 27 + 3 ( 10000 ) ( 3 ) + 3 ( 9 ) ( 100 )

( 100 + 3 )³ = 1000000 + 27 + 90000 + 2700

( 100 + 3 )³ = 1092727

Answer 2

${(103)}^{3} \\ \\ = ( {100 + 3)}^{3} ....... \\ {(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3} \\ \\ = {100}^{3} + 3( {100})^{2} (3) + 3(100)( {3)}^{2} + {3}^{3} \\ \\ = 1000000 + 90000 + 2700 + 27 \\ \\ = 1092727$

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