What is (x^2-25)/(x^2+9x+20) ?

The solution to (x^2-25)/(x^2+9x+20) is (x-5)/(x+4)

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simplify (x^2-25)/(x^2+9x+20)

simplify

\frac{x ^{2} - 25}{x ^{2} + 9 x + 20}

\frac{x - 5}{x + 4}

Solution steps

\frac{x ^{2} - 25}{x ^{2} + 9 x + 20}

Factor

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

= \frac{( x + 5 ) ( x - 5 )}{x ^{2} + 9 x + 20}

Factor

x^{2} + 9 x + 20 : (x + 4) (x + 5)

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

Cancel the common factor:

x + 5

= \frac{x - 5}{x + 4}

\frac{80}{180}

45 x^{5}

3 \cdot 17

\frac{2 x}{x ^{2} - 3 x - 18} - \frac{5}{x ^{2} + 6 x + 9}

(x + y)^{13}

What is (x^2-25)/(x^2+9x+20) ?
The solution to (x^2-25)/(x^2+9x+20) is (x-5)/(x+4)