What is (x^2-4)/(x^2-6x+8) ?

The solution to (x^2-4)/(x^2-6x+8) is (x+2)/(x-4)

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simplify (x^2-4)/(x^2-6x+8)

simplify

\frac{x ^{2} - 4}{x ^{2} - 6 x + 8}

\frac{x + 2}{x - 4}

Solution steps

\frac{x ^{2} - 4}{x ^{2} - 6 x + 8}

Factor

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

= \frac{( x + 2 ) ( x - 2 )}{x ^{2} - 6 x + 8}

Factor

x^{2} - 6 x + 8 : (x - 2) (x - 4)

= \frac{( x + 2 ) ( x - 2 )}{( x - 2 ) ( x - 4 )}

Cancel the common factor:

x - 2

= \frac{x + 2}{x - 4}

sec^{4} (x) - sec^{2} (x)

(6 ab + 10) (7 a - 2 b)

1 + (2 x - \frac{1}{8 x})^{2}

(e^{x} sin (x))^{2}