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