Question

Evaluate: 1003 cube​

Answer 1

Answer:-

To Find: (1,003)³.

Identity to be Used:

We know,

(a + b)³ = a³ + b³ + 3ab(a + b)

Procedure:

(1003)³

= (1,000 + 3)³

= (1,000)³ + (3)³ + 3(1,000)(3)(1,000 + 3)

(Assume “a = 1000; b = 3”.)

= 1,000,000,000 + 27 + 3(3,000)(1,003)

= 1,000,000,000 + 27 + 9,000(1,003)

= 1,000,000,000 + 27 + 9,027,000

= 1,009,027,027 ...(Ans.)

Therefore, (1003)³ = 1009,027,027.