Question

$- 3x^{3} + 18x^{2} - 27x$

Explanation:

Step1: Factor out common term

$-3x^3 + 18x^2 - 27x = -3x(x^2 - 6x + 9)$

Step2: Factor quadratic trinomial

$x^2 - 6x + 9 = (x - 3)^2$

Step3: Combine factored terms

$-3x(x - 3)^2$

Answer:

$-3x(x - 3)^2$