Answer:
To find the least common multiple (LCM) of two expressions, you should first factor them.
For (x-y)²:
(x-y)² = (x-y)(x-y)
For (x-y)³:
(x-y)³ = (x-y)(x-y)(x-y)
Now, to find the LCM, you need to take the highest power of each factor. In this case, the highest power of (x-y) is (x-y)³.
So, the LCM of (x-y)² and (x-y)³ is (x-y)³.