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5a – 12 3a – 2
________________ - _________________
a^2 – 8a + 15 a^2 – 8a + 15
Notice that the denominators are the same so we add or subtract
the numerator right away
5a – 12 - (3a – 2)
_______________________
a^2 – 8a + 15
5a – 12 - 3a + 2
_______________________
a^2 – 8a + 15
2a – 10
_______________________
a^2 – 8a + 15
2(a - 5)
________________
(a - 5)(a + 3)
2 
________________
(a + 3)
2
__________
a + 3
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