What is (x^2-x-30)/(x^2-25) ?

The solution to (x^2-x-30)/(x^2-25) is (x-6)/(x-5)

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simplify (x^2-x-30)/(x^2-25)

simplify

\frac{x ^{2} - x - 30}{x ^{2} - 25}

\frac{x - 6}{x - 5}

Solution steps

\frac{x ^{2} - x - 30}{x ^{2} - 25}

Factor

x^{2} - x - 30 : (x + 5) (x - 6)

= \frac{( x + 5 ) ( x - 6 )}{x ^{2} - 25}

Factor

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

= \frac{( x + 5 ) ( x - 6 )}{( x + 5 ) ( x - 5 )}

Cancel the common factor:

x + 5

= \frac{x - 6}{x - 5}

- \frac{4}{3} \cdot (- 2)

\frac{73}{6}

\frac{- 1}{5}

(y + 5) (y - 2)

6 x + 8 x

What is (x^2-x-30)/(x^2-25) ?
The solution to (x^2-x-30)/(x^2-25) is (x-6)/(x-5)