# Thread: How to simplify x^3 - y^3 / x - y

1. ## How to simplify x^3 - y^3 / x - y

How to simplify

x3 - y3 / x - y

2. ## Re: How to simplify x^3 - y^3 / x - y

Originally Posted by AaPa
How to simplify

x3 - y3 / x - y

look up the factoring pattern for the difference of cubes in your text or online.

3. ## Re: How to simplify x^3 - y^3 / x - y

$\frac{((x-y)(x^2+xy+y^2))}{(x-y)}$

4. ## Re: How to simplify x^3 - y^3 / x - y

You should know that:
x^3 - y^3 = (x - y)(x^2 + xy + y^2)
else you're not ready for this.

And your expression needs brackets: (x^3 - y^3) / (x - y)

5. ## Re: How to simplify x^3 - y^3 / x - y

I knew that x^3 - y^3 = (x - y)(x^2 + xy + y^2)

and

x^3 - y^3 / (x - y) = (x^2 + xy + y^2)

This is what I wanted to prove.

6. ## Re: How to simplify x^3 - y^3 / x - y

Originally Posted by AaPa
I knew that x^3 - y^3 = (x - y)(x^2 + xy + y^2)
and
x^3 - y^3 / (x - y) = (x^2 + xy + y^2)
This is what I wanted to prove.
Once more, be CAREFUL with brackets; should be:
(x^3 - y^3) / (x - y) = x^2 + xy + y^2

There is NOTHING to prove: simply cancel out the (x - y) terms: see Dobby's post...

7. ## Re: How to simplify x^3 - y^3 / x - y

Is there a way to find these factors of
x^3 - y^3
except try and error?

8. ## Re: How to simplify x^3 - y^3 / x - y

Google "difference of cubes".

,

,

,

,

,

,

,

,

,

,

,

,

,

,

# (x 3   y 3)÷(x - y)

Click on a term to search for related topics.