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Mathematics
Boone
25 March, 17:59
Simplify
(n^2-10n+24) / (n^2-13n+42) - 9 / (n-7)
+4
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1
)
Alfredo
25 March, 20:19
0
Factor the numerator and denominator of the first fraction ...
(n^2-6n-4n+24) / (n^2-6n-7n+42)
(n (n-6) - 4 (n-6)) / (n (n-6) - 7 (n-6))
((n-4) (n-6)) / ((n-7) (n-6)), note that the (n-6) s cancel out leaving:
(n-4) / (n-7) so now the equation looks like:
(n-4) / (n-7) - 9 / (n-7) since they now have a common denominator ...
(n-4-9) / (n-7) which is
(n-13) / (n-7)
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