What is (x^2+2x-15)/(x^2-9) ?

The solution to (x^2+2x-15)/(x^2-9) is (x+5)/(x+3)

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simplify (x^2+2x-15)/(x^2-9)

simplify

\frac{x ^{2} + 2 x - 15}{x ^{2} - 9}

\frac{x + 5}{x + 3}

Solution steps

\frac{x ^{2} + 2 x - 15}{x ^{2} - 9}

Factor

x^{2} + 2 x - 15 : (x - 3) (x + 5)

= \frac{( x - 3 ) ( x + 5 )}{x ^{2} - 9}

Factor

x^{2} - 9 : (x + 3) (x - 3)

= \frac{( x - 3 ) ( x + 5 )}{( x + 3 ) ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{x + 5}{x + 3}

\frac{13}{9}

(1 + \frac{1}{4})^{4}

lo g_{8} (7)

+ 3 - 3

(2 x - 1) (2 x + 3)

What is (x^2+2x-15)/(x^2-9) ?
The solution to (x^2+2x-15)/(x^2-9) is (x+5)/(x+3)