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Popular >

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

Solution

simplify

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

Solution

\frac{x - 4}{x}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 4

= \frac{x - 4}{x}

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Frequently Asked Questions (FAQ)

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