Simplify ((x^2-25)/(x^2-10x+25))/((x+5)/(x-5))

Math
Multiply the numerator by the reciprocal of the denominator.
Simplify the numerator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Factor using the perfect square rule.
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Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Reduce the expression by cancelling the common factors.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify ((x^2-25)/(x^2-10x+25))/((x+5)/(x-5))

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