Question

a^3+b^3
proove that @soumen7

Answer 1

ia³ + b³ = (a + b)(a² – ab + b²)

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 )

that's the proof i hope you understand

Answer 2

Answer:

a^3+b^3=(a+b)^3-3ab(a+b)