+128472 [ a^2 -2a - 3 ] [ a^2 - 5a - 6 ]
___________ - ______________
[a^2 - 9a + 18] [ a^2 + 9a + 8 ]
(a - 3) ( a + 1) (a - 6) ( a + 1)
___________ - ____________
(a - 3) ( a - 6) (a + 8) ( a + 1)
(a + 1) (a - 6)
_____ - ______
(a - 6) (a + 8)
(a + 1) (a + 8) - (a - 6)(a - 6)
______________________
(a - 6) ( a + 8)
[ (a^2 + 9a + 8) - ( a^2 - 12a + 36) ]
_________________________________
(a - 6) ( a + 8)
[ 21a - 28 ]
___________
(a - 6) (a + 8)
7. The denominator is (1 + 3x) /x
Flip this and multiply by the numerator
4 x
____ * _______
x + 3 (1 + 3x)
4x
___________
3x^2 + 10x + 3
