Question

complete factrization of 12x²-27y²: a.3(4x²-9y²) b.3(2x+3y) (2x-3y) c.3(2x+3y)² d.3(2x-3y) (2x+3y)​

Answer 1

Hey mate,

8x 3 −27y 3 −36x 2y+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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