Factorise: 8x^3 + 27y^3 + 36x^2y + 54xy^2

=(2x−3y)(2x−3y)(2x−3y)

Step-by-step explanation:

8x  

3

−27y  

3

−36x  

2

y+54xy  

2

=(2x)  

3

−(3y)  

3

−3×(2x)  

2

×3y+3×2x×(3y)  

2

Using,(a−b)  

3

=a  

3

−b  

3

−3a  

2

b+3ab  

2

=(2x−3y)  

3

=(2x−3y)(2x−3y)(2x−3y)

df =

both have same length