# Simplify the following:?

Simplify:

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- husoskiLv 78 months ago
Use the "difference of squares" factoring to write (y² - x²) as (y + x) (y - x). Then the numerator becomes:

(y + x) (y - x) (x - y)² = (x + y) (y - x) (x - y)²

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)²

But x - y = -(y - x), so (x - y)² = (y - x)² and you can rewrite that as:

(y - x) (y - x)² = (y - x)³

That's the simplest form I can see.

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