Simplify
`(5t^(3))/(4t-8)times(6t-12)/(10t)`

Simplify (5t^(3))/(4t-8)xx(6t-12)/(10t)

Simplify (12t^(2)-22t+8)/(3t)÷(3t^(2)+2t-8)/(2t^(2)+4t)

Solve: (4t)/(t^2-25)=1/(5-t)

Check in which case the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial : t^(2)-3,2t^(4)+3t^(3)-2t^(2)-9t-12

If w = e ^(xy) wh4ere x = t ^(2), y = t ^(3) show that (dw)/(dt)=5t ^(4) e ^(t^(5)).

The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 (c) 9 (d) 15

The distance in meters described by a car in time t seconds is given by s = 4t^(3) - 3t^(2) + 6t -1 . Determine the velocity and acceleration when (i) t = 0, (ii) t =2 seconds.