Question

Factorize each of the following expressions:
p³ +27

Answer 1

Step-by-step explanation:

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Answer 2

The algebraic expression is given as:  p³ + 27

= (p)³ + (3)³

In order to factorise the given algebraic expression as the sum of two cubes we use the following identities - a³ + b³ = (a + b) (a² – ab + b²) :

Here a = p and b = 3

= (p + 3) (p² - 3p + 3²)

= (p + 3) (p² - 3p + 9)

Hence,  the factorization of an algebraic expression is (p + 3) (p² - 3p + 9).

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