What is (x^2+7x+10)/(x^2-4) ?

The solution to (x^2+7x+10)/(x^2-4) is (x+5)/(x-2)

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simplify (x^2+7x+10)/(x^2-4)

simplify

\frac{x ^{2} + 7 x + 10}{x ^{2} - 4}

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

Solution steps

\frac{x ^{2} + 7 x + 10}{x ^{2} - 4}

Factor

x^{2} + 7 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}

\frac{7}{13} + \frac{5}{10}

- 1 6^{\frac{3}{2}}

(4 m^{3} - 2 m^{2} + 5 m) + (- 2 m - 3 m^{2} + m^{3})

\frac{x ^{2} - 20 + x}{x + 5}

- \frac{1}{2} x + 2

What is (x^2+7x+10)/(x^2-4) ?
The solution to (x^2+7x+10)/(x^2-4) is (x+5)/(x-2)