Question

How do you factor `x^3-27y^6`?

Answer 1

`(x-3y^2)(x^2+3xy^2+9y^4)`

Explanation:

`"this is a "color(blue)"difference of cubes"`

`"factorises, in general, as follows"`

`a^3-b^3=(a-b)(a^2+ab+b^2)`

`x^3-27y^6`

`=x^3-(3y^2)^3`

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