Question

(99)³ ,Evaluate it using suitable identites.

Answer 1

Hey..

please refer to the attachment

Answer 2

=> 99³

=> ( 100 - 1 )³

$\mathbf{ {(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y) } \\ \\ \\ \mathbf{ \fcolorbox{aqua}{pink}{on \: applying \: \: formula \: \: \: \: \: \: \: we \: get}}$


=> ( 100 )³ - ( 1 )³ - 3( 100 × 1 )( 100 - 1 )


=> 1000000 - 1 - 300( 99 )

=> 999999 - 29700

=> 970299