Simplify rational expressions? Help please

Been working on this a while and I keep having different answers, none of which are correct. Any help is appreciated, especially step-by-step (although I don't expect this and even the solution is great since I can re-work the problem until my answer matches the correct one!) Thanks in advance. Here's the screenshot... the smaller text is the original problem, bigger text is just my wrong answer.

http://img18.imageshack.us/img18/4720/ma…

factors, factors, factors just like you already did.......

(10t^3 + 45t)/(20t +10) x (2t^2 - t -1)/(t^5 - t) =

(5)t(2t^2 + 9)/(10)(2t + 1) x (2t + 1)(t -1)/(t)(t^4 - 1) =

(t)(2t^2 + 9)/(2) x (t -1)/(t)(t^4 - 1) =

(2t^2 + 9)(t -1)/(2)(t^2 +1)(t^2 -1) =

(2t^2 + 9)/(2)(t^2 +1)(t + 1) =...............{your answer is (2t + 9)/(2)(t^2 +1)(t + 1)}

(2t^2 + 9)/(2)(t^3 + t^2 + t + 1) =

(2t^2 + 9)/(2t^3 + 2t^2 + 2t + 2)

Far as I can see, you only missed the "squared" after the t on your top line.

(10*t^3 + 45*t)/(20*t + 10)*(2*t^2 - t - 1)/(t^5 - t)

(10*t^3 + 45*t)*(2*t^2 - t - 1)
--------------------------------------… =
(20*t + 10)*(t^5 - t)

5*t*(2*t^2 + 9)*(2*t + 1)*(t - 1)
--------------------------------------… =
10*(2*t + 1)*t*(t^4 - 1)

(2*t^2 + 9)*(t - 1)
---------------------------------- =
2*(t^2 + 1)*(t + 1)*(t - 1)

(2*t^2 + 9)
-------------------------, answer!
2*(t^2 + 1)*(t + 1)

[5t(2t^2+9)/10(2t+1) ] * [(2t+1)(t-1)/t(t^4-1)]
=> (2t^2+9)(t-1) / [2*(t^2-1)(t^2+1)]
=> (2t^2+9) / [2(t^2+1)(t+1)]

top should be (2t^2 + 9).