Question

Factorize each of the following expressions:
8x³ y³ +27a³

Answer 1

The algebraic expression is given as:  8x³ y³ + 27a³

= (2xy)³ + (3a)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 = 2xy and b = 3a

= (2xy + 3a) ((2xy)² - 2xy × 3a + (3a²))

= (2xy + 3a) (4x²y² - 6xya + 9a²)

Hence,  the factorization of an algebraic expression 8x³ y³ + 27a³ is (2xy + 3a) (4x²y² - 6xya + 9a²).

HOPE THIS ANSWER WILL HELP YOU…..

Similar questions :

Factorize each of the following expressions:

y³ +125

https://brainly.in/question/15900461

Factorize each of the following expressions:

p³ +27

https://brainly.in/question/15900464

Answer 2

$\huge \star \bf \purple{solution}$

8x³ y³ +27a³

= (2xy)³ + (3a)³ [a³ + b³ = (a + b) (a² – ab + b²) ]

= (2xy + 3a) ((2xy)² - 2xy × 3a + (3a²))

= (2xy + 3a) (4x²y² - 6xya + 9a²)

Learn more:

Factorize each of the following expressions:y³ +125

https://brainly.in/question/15900461