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(((t - 5t + 25)/(25t - 1)) ((5t + t)/(t + 125)) - ((t + 5)/(5t - t))) (4/(t + 5t)) - ((25t + +22)/(4 - 20t)) = (t + 173,7)/(2t +21,6)
1) (((t - 5t + 25)/(25t - 1)) ((5t + t)/(t + 125)) = ((t - 5)/(5t - 1)(5t + 1)) (t(5t + 1)/(t + +5) (t - 5t + 25)) = ((t - 5)(t - 5)/(5t - 1)(5t + 1)) (t(5t + 1)/(t + 5)(t - 5t + 25)) = (t - 5)(t - 5)t(5t + 1)/(5t - 1)(5t + 1)(t + 5)(t - 5t + 25) = (t - 5)(t - 5)t/(5t - 1)(t + 5)(t - 5t + 25)
2) ((t - 5)(t - 5)t/(5t - 1)(t + 5)(t - 5t + 25)) - ((t + 5)/(5t - t)) = ((t - 5)(t - 5)t/(5t - 1)(t + 5)(t - 5t + 25)) - ((t + 5)/t(5t - 1)) = ((t - 5)(t - 5)t t/(5t - 1)(t + 5)(t - 5t + 25) t) - ((t + 5)
(t + 5)(t - 5t + 25))/(t + 5)(t - 5t + 25)(5t - 1) t = ((t - 5)(t - 5)t t) - ((t + 5)(t + 5)(t - 5t + 25))/(t + 5)(t - 5t + 25)(5t - 1) t = (t(t - 5) - ((t+5)(t- 125))/(t + 5)(t - 5t + 25)(5t - -1)t = (t(t - 10 t + 25) - (t + 5t - 125t - 625))/(t + 5)(t - 5t + 25)(5t - 1)t = (t - 10t + + 25t - t - 5t + 125t + 625)/(t + 5)(t - 5t + 25)(5t - 1)t = (t - t - 10t - 5t + 25t + +125t + 625)/(t + 5)(t - 5t + 25)(5t - 1)t = ((-15t + 25t + 125t + 625)/(t + 5)(t - 5t + + 25)(5t - 1)t
3) ((-15t + 25t + 125t + 625)/(t + 5)(t - 5t + 25)(5t - 1)t) (4/(t + 5t)) = ((-15t + 25t + 125t + 625)/(t + 5)(t - 5t + 25)(5t - 1)t) ((t + 5t)/4) = ((-15t + 25t+ 125t + 625)/(t+ + 5)(t - 5t + 25)(5t - 1)t) (t(t + 5)/4) = ((-15t + 25t+ 125t + 625)/(t - 5t + 25)(5t - 1) 4 = ((-1)(15t - 25t- 125t - 625)/(t - 5t + 25)(20t - 4) = ((-1)(15t - 25t- 125t - 625)/ /(t - 5t + 25)(-1)(-20t + 4) = (15t - 25t- 125t - 625)/(t - 5t + 25)(4 -20t)
4) ((15t - 25t - 125t - 625)/(t - 5t + 25)(4 - 20t)) - ((25t + 22)/(4 - 20t)) = ((15t -
-25t - 125t - 625)/(t - 5t + 25)(4 - 20t)) - ((t - 5t + 25)(25t + 22)/(4 - 20t)(t - 5t + 25)) = ((15t - 25t - 125t - 625) - (t - 5t + 25)(25t + 22))/((t - 5t + 25)(4 - 20t)) = (15t - 25t - 125t - 625 - (25t - 125t + 625t + 22t - 110t + 550))/((t - 5t + 25)(4 - 20t)) = (15t - 25t - 125t - 625 - 25t + 125t - 625t - 22t + 110t - 550)/((t - 5t + 25)(4 - 20t)) = (15t - 25t - 25t + 125t - 22t - 125t - 625t + 110 - 625 - 550)/((t - 5t + 25)(4 - 20t)) = ((-10t) + 100t - 22t - 750t + 110t - 1175))/((t - 5t + 25)(4 - 20t))= = ((-10t) + 78t - 640t - 1175)/( 4t - 20t + 100 - 20t + 100t - 400t) = ((-10t) + 78t- - 640t - 1175)/((-20t) + 4t + 100t - 20t - 400t + 100) = ((-10t) + 78t - 640t - 1175)/ /((-20t) + 104t - 420t + 100) = 2((-5t) + 39t - 320t - 587,5)/2((-10t) + 52t - 210t + 50) = ((-5t) + 39t - 320t - 587,5)/((-10t) + 52t - 210t + 50) = (-1) 5(t - 7,8t + 64t + 117,5)/5 (-1)(2t - 10,4t +42 t-10) = (t - 7,8t + 64t + 117,5)/(2t - 10,4t + 42t - - 10) = t((t - 7,8t + 64) + 117,5)/t((2t - 10,4t + 42) - 10) = ((t - 7,8t) + 64 + 117,5)/((2t - 10,4t) + 42 - 10) = t((t - 7,8) + 64 + 117,5)/t((2t - 10,4) +42 - 10) = (t - 7,8 + 64 + 117,5) /(2t - 10,4 + 42 - 10) = (t + 56,2 + 117,5)/(2t + 31,6 - 10) = (t + 173,7)/(2t +21,6)