Question

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

Answer 1

=(2x−3y)(2x−3y)(2x−3y)

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)