Posted by Jamie on .
How do you simplify this?
(x+3/x6)2/(x+3/x6)+8

Math 
Steve,
simplify fractions first:
(x+3)/(x6)  2(x6)/(x+3) + 8
now put all over common denominator of (x6)(x+3)
(x+3)(x+3)  2(x6)(x6) + 8(x+3)(x6)

(x6)(x+3)
= (7x^2+6x207)//(x^23x18) 
Math 
Steve,
The above answer is not really a satisfying "simplification." How about this?
x+3/x6 = 1 + 9/(x6)
x6/x+3 = 1  9/(x+3)
so, we have
1 + 9/(x6) + 2(1  9/(x+3)) + 8
9/(x6)  18/(x+3) + 11 
Math 
Steve,
"" got lost.
Of course, I meant
9/(x6) + 18/(x+3) + 7