Question

Factorize each of the following expressions:
y³ +125

Answer 1

The algebraic expression is given asn:  y³ + 125

= (y)³ + (5)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 = y and b = 5

= (y + 5) (y² - 5y + 5²)

= (y + 5) (y² - 5y + 25)

Hence,  the factorization of an algebraic expression is (y + 5) (y² - 5y + 25).

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Answer 2

Step-by-step explanation:

l

a³ + b³ = (a + b) (a² – ab + b²) : .

Here a = y and b = 5

= (y + 5) (y² - 5y + 5²)

= (y + 5) (y² - 5y + 25)

Hence,

 the factorization of an algebraic expression is (y + 5) (y² - 5y + 25).