What is (x^2-5x-36)/(x^2-16) ?

The solution to (x^2-5x-36)/(x^2-16) is (x-9)/(x-4)

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simplify (x^2-5x-36)/(x^2-16)

simplify

\frac{x ^{2} - 5 x - 36}{x ^{2} - 16}

\frac{x - 9}{x - 4}

Solution steps

\frac{x ^{2} - 5 x - 36}{x ^{2} - 16}

Factor

x^{2} - 5 x - 36 : (x + 4) (x - 9)

= \frac{( x + 4 ) ( x - 9 )}{x ^{2} - 16}

Factor

x^{2} - 16 : (x + 4) (x - 4)

= \frac{( x + 4 ) ( x - 9 )}{( x + 4 ) ( x - 4 )}

Cancel the common factor:

x + 4

= \frac{x - 9}{x - 4}

400 n^{2} - 169 m^{2}

(5 - 3 i) (- 8 + 5 i)

3 lo g_{2} (1)

36 - 81 a^{2}

\frac{2 x + 4}{x + 2}

What is (x^2-5x-36)/(x^2-16) ?
The solution to (x^2-5x-36)/(x^2-16) is (x-9)/(x-4)