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Popular >

simplify (x^2-4x)/(x^2-16)

Solution

simplify

\frac{x ^{2} - 4 x}{x ^{2} - 16}

Solution

\frac{x}{x + 4}

Solution steps

\frac{x ^{2} - 4 x}{x ^{2} - 16}

Factor

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

= \frac{x ( x - 4 )}{x ^{2} - 16}

Factor

x^{2} - 16 : (x + 4) (x - 4)

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

Cancel the common factor:

x - 4

= \frac{x}{x + 4}

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Frequently Asked Questions (FAQ)

What is (x^2-4x)/(x^2-16) ?
The solution to (x^2-4x)/(x^2-16) is x/(x+4)