Question

How do you factor `r^3-8`?

Answer 1

`(r-2)(r^2 + 2r + 4)`

Explanation:

Difference of Cubes follows the formula:
`a^3 - b^3 = (a-b)(a^2 + ab + b^2)`

`r^3 - 8 = r^3 - 2^3 = (r-2)(r^2 + 2r + 4)`

Answer 2

`(r-2)(r^2+2r+4)`

Explanation:

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

`"which factors in general as"`

`•color(white)(x)a^3-b^3=(a-b)(a^2+ab+b^2)`

`"here "a=r" and "b=2`

`rArrr^3-8=(r-2)(r^2+2r+4)`