Question

Factorize:
8x³+27y³+36x² y+54xy²

Answer 1

Answer:

(2x+3y)³

Step-by-step explanation:

use the identity

Answer 2

The algebraic expression is given as : 8x³ + 27y³ + 36x²y + 54xy²

We can rewrite the  given expression as :  

= (2x)³ + (3y)³ + 3 × 2x × 3y(2x + 3y)

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

Here a = (2x) and b = (3y) :  

= (2x + 3y)³

= (2x + 3y)(2x + 3y)(2x + 3y)

Hence, the factorization of an algebraic expression is (2x + 3y)(2x + 3y)(2x + 3y).

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