notxyou notxyou
  • 19-01-2022
  • Mathematics
contestada

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

Respuesta :

paribatool2020 paribatool2020
  • 19-01-2022

Answer:

=(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)

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