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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

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6 votes

Answer:

15(x - 5)(x - 3)²

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

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