What is (x^2-25)/(x^2+7x+10) ?

The solution to (x^2-25)/(x^2+7x+10) is (x-5)/(x+2)

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simplify (x^2-25)/(x^2+7x+10)

simplify

\frac{x ^{2} - 25}{x ^{2} + 7 x + 10}

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

Solution steps

\frac{x ^{2} - 25}{x ^{2} + 7 x + 10}

Factor

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

= \frac{( x + 5 ) ( x - 5 )}{x ^{2} + 7 x + 10}

Factor

x^{2} + 7 x + 10 : (x + 2) (x + 5)

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

Cancel the common factor:

x + 5

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

- 420

(n + 1)^{10}

n^{7} \cdot n

\frac{1}{1 + 2 i} + \frac{1}{1 + 8 i}

- 3 \frac{3}{5}

What is (x^2-25)/(x^2+7x+10) ?
The solution to (x^2-25)/(x^2+7x+10) is (x-5)/(x+2)