Question

evaluate (1). (1002)^2 (2). (999)^3

Answer 1

Hey friend,
Here is the answer you were looking for:
$1) \\ {(1002)}^{2} \\ \\ = {(1000 + 2)}^{2}$
Using the identity

(a + b)^2 = (a)^2 + (b)^2 + 2ab

= (1000)^2 + (2)^2 + 2 × 1000 × 2

= 1000000 + 4 + 4000

= 1004004

2)

(999)^3

= (1000 - 1)^3

Using the identity
(a - b)^3 = (a)^3 - (b)^3 - 3ab (a - b)

= (1000)^3 -(1)^3 - 3 × 1000 × 1 ( 1000 - 1)

= 1000000 - 1 - 3000(999)

= 999999 -2997000

= - 1997001



Hope this helps!!!

@Mahak24

Thanks...
☺☺