Question

verify the identity

a3
+ b3
= (a + b) (a2
- ab + b2
)

please answer in LHS= RHS format ​

Answer 1

Answer:

You know that,

(a + b)³ = a³ + 3ab(a + b) + b³

then,

a³ + b³ = (a + b)³ – 3ab(a + b)

= (a + b)[(a + b)² – 3ab]

= (a + b)(a² + 2ab + b² – 3ab)

= (a + b)(a² – ab + b² )