# Simplify the following:?

Simplify:

### 1 Answer

Relevance

- husoskiLv 74 weeks ago
Use the "difference of squares" factoring to write (yÂ² - xÂ²) as (y + x) (y - x).Â Then the numerator becomes:

(y + x) (y - x) (x - y)Â² = (x + y) (y - x) (x - y)Â²

Now, so long as (x + y) is not zero, the (x + y) factors on top and bottom cancel out and you're left with just

(y - x) (x - y)Â²

But x - y = -(y - x), so (x - y)Â² = (y - x)Â² and you can rewrite that as:

(y - x) (y - x)Â² = (y - x)Â³

That's the simplest form I can see.

Still have questions? Get your answers by asking now.