Question

Factorise: a³-a²b + ab²-b³​

Answer 1

Answer:

Step-by-step explanation:

a³ + b³ = (a + b)(a² – ab + b²)

(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 )

Answer 2

Answer:

a³ + b³ = (a + b)(a² – ab + b²)

Step-by-step explanation:

(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 )