Question

$(x + y)3 - (x3 + y3$
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Answer 1

Answer:

(x+y)³-(x³ + y³)

(x³+y³+3x²y+3xy²)-x³ - y³

3xy(x+y)

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Answer 2

Answer:

(x + y)(3xy)

Step-by-step explanation:

(x + y)³ - (x³ + y³)

Using identity a³ + b³ = (a + b)(a² - ab + b²)

= (x + y)³ - (x + y)(x² - xy + y²)

Taking (x + y) common,

= (x + y)[(x + y)² - (x² - xy + y²)]

Using identity (x + y)² = x² + 2xy + y²

= (x + y)[x² + 2xy +y² - (x² - xy + y²)]

= (x + y)[x² + 2xy +y² - x² + xy - y²)]

= (x + y)(3xy)

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