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{x + 3}{( x + 3 ) ^{2} + 1}

\frac{3}{\frac{x}{x + 1}}

- 15 b a^{2} + 25 b

a^{2} + b^{2} + 2 ab

5 \cdot 1 0^{8}

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