What is (x^2-3x-10)/(x^2-25) ?

The solution to (x^2-3x-10)/(x^2-25) is (x+2)/(x+5)

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simplify (x^2-3x-10)/(x^2-25)

simplify

\frac{x ^{2} - 3 x - 10}{x ^{2} - 25}

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

Solution steps

\frac{x ^{2} - 3 x - 10}{x ^{2} - 25}

Factor

x^{2} - 3 x - 10 : (x + 2) (x - 5)

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

Factor

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

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

Cancel the common factor:

x - 5

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

5 x (3 x + 2)

\frac{5}{40}

(\frac{2 x ^{3} y ^{0} z ^{4}}{x ^{4} z ^{- 1}})^{3}

\frac{3}{2} \div \frac{1}{2}

16 x

What is (x^2-3x-10)/(x^2-25) ?
The solution to (x^2-3x-10)/(x^2-25) is (x+2)/(x+5)