Question

Factorize:
8a³-27b³-36a²b+54ab²

Answer 1

The algebraic expression is given as : 8a³ - 27b³ - 36a²b + 54ab²

 

We can rewrite the  given expression as :  

= (2a)³ -  (3b)³ - 3 × 2a × 3b (2a - 3b)

In order to factorise the given algebraic expression we use the following Identity - a³ - b³ - 3ab (a - b) = (a - b)³.

Here a = (2a) and b = (3b) :  

= (2a - 3b)³

= (2a - 3b)(2a - 3b)(2a - 3b)

Hence, the factorization of an algebraic expression is  (2a - 3b)(2a - 3b)(2a - 3b).

HOPE THIS ANSWER WILL HELP YOU…

Some more questions :  

Factorise each of the following:

(i) 8a^3 + b^3 + 12a^2b + 6ab^2

(ii) 8a^3 - b^3 - 12a^2b + 6ab^2

………..

brainly.in/question/1405684

Factorize:

8x³+y³+12x²y+6xy²

https://brainly.in/question/15901890

Answer 2

Step-by-step explanation:

see the attachment friend !!