The least common denominator of the rational numbers x^2-y^2 / (x^2-8x+15) and y^2/15 (x^2-6x+9) is

15 (x - 5) (x - 3) ²

Step-by-step explanation:

factor both denominators and see what you need to do to make them equal ...

(x² - y²) / [ (x - 5) (x - 3) ] y²/[15 (x - 3) (x - 3) ]

the first denominator has (x - 5) (x - 3)

the second denominator has 15 (x - 3) (x - 3),

the least common denominator between them would be

15 (x - 5) (x - 3) (x - 3) or 15 (x - 5) (x - 3) ²