Question

How do you simplify and divide `(x^3-27) div(x-3)`?

Answer 1

`x^2+3x+9`

Explanation:

we have formula `x^3-y^3=(x-y)(x^2+xy+y^2)`
Therefore
`(x^3-27)=(x^3-3^3)=(x-3)(x^2+3x+3^2)=(x-3)(x^2+3x+9)`

Now the question can be simplify like
`(x^3-27)/(x-3)=[(x-3)(x^2+3x+9)] / (x-3)=(x^2+3x+9)`