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Caitlin Porter
Mathematics
8 January, 06:21
Subtract
/frac{3n+2}{n-4}-/frac{n-6}{n+4}
+5
Answers (
1
)
Ernie
8 January, 06:50
0
(3n+2) / (n-4) - (n-6) / (n+4)
common denominator (n-4) (n+4)
{ (n+4) (3n+2) - (n-4) (n-6) }/{ (n-4) (n+4) }
Use the foil method:
{ (3n²+14n+8) - (n²-10n+24) }/{ (n-4) (n+4) }
distribute negative sign:
{ (3n²+14n+8-n²+10n-24) }/{ (n-4) (n+4) }
subtract:
(2n²+24n-16) / { (n-4) (n+4) }
take out 2:
2{n²+12n-8}/{ (n-4) (n+4) }
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