Math, asked by nirajbharti1029, 8 months ago

Prove a3+b3 formulae

Answers

Answered by biswasriya142005
3

Answer:

a³ + 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 )

Step-by-step explanation:

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Answered by nikunjc971
1

Step-by-step explanation:

a³ + 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 )

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