If a + b = 0,then a³ + b³ =

Let's solve this step by step using the given condition a + b = 0.

Start with the given equation: a + b = 0.

Apply the cube operation to both sides: 

(a + b)³ = a³ + b³ + 3ab(a + b)

Substitute a + b = 0 into the equation: 

(0)³ = a³ + b³ + 3ab(0)

Simplify the expression: 

0 = a³ + b³ + 0

Finally, isolate a³ + b³: 

a³ + b³ = 0

Thus, the value of a³ + b³, given that a + b = 0, is 0.