verify the identity

a3
+ b3
= (a + b) (a2
– ab + b2
)

please answer in LHS= RHS

1 thought on “verify the identity<br /><br />a3<br /> + b3<br /> = (a + b) (a2<br /> – ab + b2<br /> )<br /><br />please answer in LHS= RHS”

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 )

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