Question

Use property to evaluate:

13³ + (–8)³ + (–5)³

Answer 1

Property is if a + b + c = 0 then a³ + b³ + c³ = 3abc

a = 13, b = –8 and c = –5

13³ + (–8)³ + (–5)³ 

= 3(13) (–8) (–5) 

= 39 × 40

= 1560