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Popular >

simplify (x^2-2x)/(x^2-4)

Solution

simplify

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

Solution

\frac{x}{x + 2}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 2

= \frac{x}{x + 2}

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Frequently Asked Questions (FAQ)

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