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Simplify x^2-9 / x^2-3x

User Guedes
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1 Answer

3 votes

Answer:

(x^2 - 9) / (x^2 - 3x) is (x + 3) / x.

Explanation:

Factor the numerator (x^2 - 9):

x^2 - 9 = (x - 3)(x + 3)

Factor the denominator (x^2 - 3x):

x^2 - 3x = x(x - 3)

Rewrite the expression:

(x^2 - 9) / (x^2 - 3x) = [(x - 3)(x + 3)] / [x(x - 3)]

Simplify by canceling out the common factor of (x - 3):

(x^2 - 9) / (x^2 - 3x) = (x + 3) / x

User Majid Abbasi
by
8.4k points

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