Question

factorise x^3 + y^3 + x + y

Answer 1

Answer:

Hey mate!

(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)

Thanks for the question!

Step-by-step explanation:

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Answer 2

(x³ + y³) + x + y

(x + y)(x² + y² - xy) + (x + y)

(x + y)[x² + y² - xy + 1]