What is (x^2-16x+63)/(49-x^2) ?

The solution to (x^2-16x+63)/(49-x^2) is -(x-9)/(7+x)

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simplify (x^2-16x+63)/(49-x^2)

simplify

\frac{x ^{2} - 16 x + 63}{49 - x ^{2}}

- \frac{x - 9}{7 + x}

Solution steps

\frac{x ^{2} - 16 x + 63}{49 - x ^{2}}

Factor

x^{2} - 16 x + 63 : (x - 7) (x - 9)

= \frac{( x - 7 ) ( x - 9 )}{49 - x ^{2}}

Factor

49 - x^{2} : (7 + x) (7 - x)

= \frac{( x - 7 ) ( x - 9 )}{( 7 + x ) ( 7 - x )}

(7 + x) (7 - x) = - (7 + x) (x - 7)

= \frac{( x - 7 ) ( x - 9 )}{- ( 7 + x ) ( x - 7 )}

Cancel the common factor:

x - 7

= \frac{x - 9}{- ( 7 + x )}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{x - 9}{7 + x}

(5^{2})^{- 1}

\frac{1}{5} 50

96 + 724

(5 x y^{2} z^{3})^{3}

25 - 180

What is (x^2-16x+63)/(49-x^2) ?
The solution to (x^2-16x+63)/(49-x^2) is -(x-9)/(7+x)