Question

How do you factor completely `3x^3y - 27x^2y + 54xy`?

Answer 1

`3xy(x-3)(x-6)`

Explanation:

Take `3xy` out as a common factor:
`3xy(x^2-9x+18)`

Hence, factorise the subsequent quadratic:
`3xy(x^2-9x+18)`
`=3xy(x-3)(x-6)`