Question

Factorise (a+b)^3-a-b

Answer 1

Answer:

(a + b) (a + b + 1) (a + b - 1)

Step-by-step explanation:

(a + b)^3 - a - b

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

= (a + b) [(a + b)^2 - 1]

= (a + b) [(a + b)^2 - 1^2]

= (a + b) [(a + b + 1) (a + b - 1)]

= (a + b) (a + b + 1) (a + b - 1)