Question

evaluate follow8ng using suitable identities (998)3

Answer 1

Heya !!



( 998)³

=> ( 1000 - 2 )³



We know that,


( A - B)³ = (A)³ - (B)³ - 3AB ( A + B )




So,



( 1000 - 2)³



=> (1000)³ - (2)³ - 3 × 1000 × 2 × ( 1000 - 2 )




=> 1000000000 - 8 - 598800




=> 994011992 [ Answer ]

Answer 2

hey!!!

given :- (998)³

= (1000 - 2)³

we know that,

(a-b)³ = a³ - b³ - 3a²b + 3ab²

here, a = 1000 and b = 2

>> (1000 - 2)³
= (1000)³ - (2)³ - 3(1000)²(2) + 3(1000)(2)²
= 1000000000 - 8 - 6000000 + 12000
= 994011992

cheers!!!