What is (x^2-25)/(x^2+2x-15) ?

The solution to (x^2-25)/(x^2+2x-15) is (x-5)/(x-3)

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simplify (x^2-25)/(x^2+2x-15)

simplify

\frac{x ^{2} - 25}{x ^{2} + 2 x - 15}

\frac{x - 5}{x - 3}

Solution steps

\frac{x ^{2} - 25}{x ^{2} + 2 x - 15}

Factor

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

= \frac{( x + 5 ) ( x - 5 )}{x ^{2} + 2 x - 15}

Factor

x^{2} + 2 x - 15 : (x - 3) (x + 5)

= \frac{( x + 5 ) ( x - 5 )}{( x - 3 ) ( x + 5 )}

Cancel the common factor:

x + 5

= \frac{x - 5}{x - 3}

(5 x + 3 y) (5 x - 3 y)

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

(m - 1) (m - 8)

5 (2 x - 4)

\frac{19}{12}

What is (x^2-25)/(x^2+2x-15) ?
The solution to (x^2-25)/(x^2+2x-15) is (x-5)/(x-3)