Did I get this problem right

Find the least common denominator for these expressions.

x / x^2 - 4

-9x / x^2 + 3x - 10

my answer:

(x - 2) (x + 2) (x-5)

x /(x^2 - 4) - 9x /( x^2 + 3x - 10)
x /(x + 2)(x – 2) - 9x /(x + 5)(x - 2)
LCD = (x + 2)(x – 2)(x + 5)
you are right
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x^2 - 4 = (x + 2)(x - 2)
x^2 + 3x - 10 = (x + 5)(x - 2)

therefore, lowest common denominator = (x + 2)(x - 2)(x + 5)

[ie. not (x - 5), as you had in your answer]

I believe you did, yes.