What is (x^2-7x+12)/(x^2-16) ?

The solution to (x^2-7x+12)/(x^2-16) is (x-3)/(x+4)

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simplify (x^2-7x+12)/(x^2-16)

simplify

\frac{x ^{2} - 7 x + 12}{x ^{2} - 16}

\frac{x - 3}{x + 4}

Solution steps

\frac{x ^{2} - 7 x + 12}{x ^{2} - 16}

Factor

x^{2} - 7 x + 12 : (x - 3) (x - 4)

= \frac{( x - 3 ) ( x - 4 )}{x ^{2} - 16}

Factor

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

= \frac{( x - 3 ) ( x - 4 )}{( x + 4 ) ( x - 4 )}

Cancel the common factor:

x - 4

= \frac{x - 3}{x + 4}

\frac{2 x + 3}{6} - \frac{4 x - 7}{9}

(y^{2})^{\frac{3}{2}}

(x + y)^{3} + y^{3}

- \frac{2}{3} 9

\frac{60 x ^{2} y ^{3}}{12 x y}

What is (x^2-7x+12)/(x^2-16) ?
The solution to (x^2-7x+12)/(x^2-16) is (x-3)/(x+4)