Question

Simplify the difference. (equation posted)

Answer 1

\[\frac{ n^2-10n+24 }{n^2-13n+42 } - \frac{ 9 }{ n-7 }\]

Answer 2

\[\frac{ (n-6)(n-4) }{(n-6)(n-7) } - \frac{ 9 }{ n-7 }
\\ = \frac{n-4 }{n-7} - \frac{ 9 }{ n-7 }
\\ = \frac{n-4 - 9 }{n-7}
\\ =\frac{n-13 }{n-7} \]

Answer 3

Thank you