Question

Evaluate (9)^3+(-3)^3+(-6)^3

Answer 1

(9)^3 + (-3)^3 + (-6)^3

(3^3 × 3^3) +(-1^3 × 3^3)+(-2^3 × 3^3)



3^3(3^3 - 1^3 - 2^3)

27(27 - 1 - 8)

27(18)

486

Answer 2

Hello friends!!

Here is your answer :

Let a = 9

b = - 3

c = - 6

Then, a + b + c

= 9 + ( - 3) + ( - 6

= 9 - 3 - 6

= 9 - 9

= 0

Using identity :

If a + b + c = 0 then a³ + b³ + c³ = 3abc


${(9)}^{3} + {( - 3)}^{3} + {( - 6)}^{3}$


$= > 3(9)( - 3)( - 6)$


$= > - 81 \times - 6$


$= > 486$


Hope it helps you.. ^_^

#Be Brainly