What is (x^2-4x-32)/(x^2-16) ?

The solution to (x^2-4x-32)/(x^2-16) is (x-8)/(x-4)

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simplify (x^2-4x-32)/(x^2-16)

simplify

\frac{x ^{2} - 4 x - 32}{x ^{2} - 16}

\frac{x - 8}{x - 4}

Solution steps

\frac{x ^{2} - 4 x - 32}{x ^{2} - 16}

Factor

x^{2} - 4 x - 32 : (x + 4) (x - 8)

= \frac{( x + 4 ) ( x - 8 )}{x ^{2} - 16}

Factor

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

= \frac{( x + 4 ) ( x - 8 )}{( x + 4 ) ( x - 4 )}

Cancel the common factor:

x + 4

= \frac{x - 8}{x - 4}

(4 + 5 m)^{3}

\frac{11}{6} \cdot \frac{5}{7}

(r^{2} - 8 r - 2) (- r^{2} + 3 r - 1)

(4 x - 2) (3 x + 2)

\frac{65}{30}

What is (x^2-4x-32)/(x^2-16) ?
The solution to (x^2-4x-32)/(x^2-16) is (x-8)/(x-4)