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Popular >

simplify (x^2+5x)/(x^2-25)

Solution

simplify

\frac{x ^{2} + 5 x}{x ^{2} - 25}

Solution

\frac{x}{x - 5}

Solution steps

\frac{x ^{2} + 5 x}{x ^{2} - 25}

Factor

x^{2} + 5 x : x (x + 5)

= \frac{x ( x + 5 )}{x ^{2} - 25}

Factor

x^{2} - 25 : (x + 5) (x - 5)

= \frac{x ( x + 5 )}{( x + 5 ) ( x - 5 )}

Cancel the common factor:

x + 5

= \frac{x}{x - 5}

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Frequently Asked Questions (FAQ)

What is (x^2+5x)/(x^2-25) ?
The solution to (x^2+5x)/(x^2-25) is x/(x-5)