What is (x^2-3x-10)/(x^2-4) ?

The solution to (x^2-3x-10)/(x^2-4) is (x-5)/(x-2)

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simplify (x^2-3x-10)/(x^2-4)

simplify

\frac{x ^{2} - 3 x - 10}{x ^{2} - 4}

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

Solution steps

\frac{x ^{2} - 3 x - 10}{x ^{2} - 4}

Factor

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

= \frac{( x + 2 ) ( x - 5 )}{x ^{2} - 4}

Factor

x^{2} - 4 : (x + 2) (x - 2)

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

Cancel the common factor:

x + 2

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

9 x - 9

\frac{1}{cos ^{2} ( 3 x )}

(6^{2} \cdot 6^{- 3})^{- 3}

23 \cdot 8

(x + i y) (x + i y)

What is (x^2-3x-10)/(x^2-4) ?
The solution to (x^2-3x-10)/(x^2-4) is (x-5)/(x-2)