Question

2x ^ 3 - 8x ^ 2 - 24x + 54

Answer 1

\(2x^3-8x^2-24x+54\)

\(=2\left(x^3-4x^2-12x+27\right)\)

\(=2\left[\left(x+3\right)\left(x^2-3x+9\right)-4x\left(x+3\right)\right]\)

\(=2\left(x+3\right)\left(x^2-3x+9-4x\right)\)

\(=2\left(x+3\right)\left(x^2-7x+9\right)\)

Answer 2

$#flo$

`2x^3 - 8x^2 - 24x + 54`

`= 2(x^3 - 4x^2 -12x + 27)`

`=2[(x^3 + 3^3 - (4x^2 + 12x)]`

`=2[(x + 3)(x^2 - 3x + 9) - 4x(x + 3)]`

`= 2(x+3)(x^2 - 3x + 9 - 4x)`

`=2(x + 3)(x^2-7x + 9)`