What is (x^2-5x+6)/(x^2-4) ?

The solution to (x^2-5x+6)/(x^2-4) is (x-3)/(x+2)

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simplify (x^2-5x+6)/(x^2-4)

simplify

\frac{x ^{2} - 5 x + 6}{x ^{2} - 4}

\frac{x - 3}{x + 2}

Solution steps

\frac{x ^{2} - 5 x + 6}{x ^{2} - 4}

Factor

x^{2} - 5 x + 6 : (x - 2) (x - 3)

= \frac{( x - 2 ) ( x - 3 )}{x ^{2} - 4}

Factor

x^{2} - 4 : (x + 2) (x - 2)

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

Cancel the common factor:

x - 2

= \frac{x - 3}{x + 2}

(- \frac{2}{7})^{3}

3 - 7192

lo g_{10} (1024)

12 n - 8 - 2 n + 10 - 4

\frac{y ^{8}}{y ^{3}}