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((t - 5t + 25)/(25t - 1) (5t + t)/(t + 125) - (t + 5)/(5t - t)) 3/(t + 5t) - (25t + 22)/
/(4 - 20t) =
1) ((t - 5t + 25)/(25t - 1) (5t + t)/(t + 125) = (t - 5t + 25)/(5t - 1)(5t + 1) t(5t + 1)/
/(t + 5)(t - 5t + 25) = t(5t + 1)(t - 5t + 25)/(5t - 1)(5t + 1)(t - 5t + 25) = t/(5t - 1)
2) t/(5t - 1) - (t + 5)/(5t - t) = t/(5t - 1) - (t + 5)/t(5t - 1) = t t/(5t - 1) t - (t + 5)/t(5t - 1) =
= t/t(5t - 1) - (t + 5)/t(5t - 1) = t - (t + 5)/t(5t - 1) = (t - t + 5)/t(5t - 1)
3) (t - t + 5)/t(5t - 1) 3/(t + 5t) = (t - t + 5)/t(5t - 1) 3/t(t + 5) = (t - t + 5)/t(5t - 1) t(t + 5)/3 = t(t + 5)(t - t + 5)/3 t(5t - 1)
4) t(t + 5)(t - t + 5)/3 t(5t - 1) - (25t + 22)/(4 - 20t) = t(t + 5)(t - t + 5)/3 t(5t - 1) - (25t + 22)/(-4)((-1) + 5t) = t(t + 5)(t - t + 5)/3t(5t - 1) - (25t + 22)/(-4)(5t - 1) = (-4 t)(t + 5)(t - t + 5)/(-4) 3t (5t -1) - 3t(25t + 22)/3t (-4)(5t - 1) = ((-4)t - 20t)(t - t + 5) - (75t + 66t)/3t (-4)(5t - 1) = ((-4t) + 4t - 20t - 20t + 20t - 100t - 75t - 66t)/3t (-4)(5t - 1) = ((-4t - 16t + 75t - 166t)/3t (-4)(5t - 1) = (-4)(t + 4t - 18,75t + 41,5t)/3t (-4)(5t - 1) = (t + 4t - 18,75t + 41,5t)/3t(5t - 1) = t(t + 4t - 18,75t + 41,5)/3t(5t - 1) =
= (t + 4t - 18,75t + 41,5)/3(5t - 1)