Question

Q2. Factorise

(b) (x+y)³-x-y​

Answer 1

(x + y)³ – x – y

= (x + y)³ – (x + y)

= (x + y) [(x + y)² – 1]

[Taking (x + y) common]

= (x + y) [(x + y)² – (1)²]

= (x + y) [(x + y + 1) (x + y – 1)]

= (x + y) (x + y + 1) (x + y – 1)

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