Question

Factorise Completely 27x^2 - 12y^2.
Show all your working. ( 3 marks)

Answer 1

27x^2 - 12y^2

= 3 [ 9x^2 - 4y^2]

= 3 [ (3x)^2 - (2y)^2]

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

[a^2 - b^2 = (a+b) (a-b)]

Answer 2

Hey dear here is your answer

=======================>

$27 {x}^{2} - 12 {y}^{2} \\ = 3(9 {x}^{2} - 4 {y}^{2} ) \\ = 3 | ({3x})^{2} - (2 {y)}^{2} | \\ = 3(3x + 2y)(3x - 2y)$

Hope it correct and helps!!