Perform the indicated operations and simplify?Help!! 3(3t-5)-t^2+3)-5t(t-2)?

Question

I need details PLEASE..

Answer 1

9t-15-t^2+3-5t^2-10t

t-12-6t^2

rearrange:

-6t^2+t-12

Answer 2

You have one extra ) so I'm going to guess where the open parenthesis corresponding to that one should be.  If I'm wrong about that guess, the answer could be different.  I will work out every step so you can follow.

3(3t - 5) - (t² + 3) - 5t(t - 2) =   ...distribute the 3 in 3(3t - 5)

3(3t) - 3(5) - (t² + 3) - 5t(t - 2) =

9t - 15 - (t² + 3) - 5t(t - 2) =

9t - 15 + (-1)(t² + 3) - 5t(t - 2) =   ...distribute the -1 in (-1)(t² + 3)

9t - 15 + (-1)(t²) + (-1)(3) - 5t(t - 2) =

9t - 15 + (-t²) + (-3) - 5t(t - 2) =

9t - 15 - t² - 3 - 5t(t - 2) =

9t - 15 - t² - 3 + (-5t)(t - 2) =   ...distribute the -5t in (-5t)(t - 2)

9t - 15 - t² - 3 + (-5t)(t) - (-5t)(2) =

9t - 15 - t² - 3 - 5t² - (-10t) =

9t - 15 - t² - 3 - 5t² + 10t =   ...put like terms next to eachother

9t + 10t - 15 - 3 - t² - 5t² =   ...factor out a t from 9t + 10t

(9 + 10)t - 15 - 3 - t² - 5t² =

19t - 15 - 3 - t² - 5t² =   ...(-15) + (-3) = (-18)

19t - 18 - t² - 5t² =   ...factor out a t² from -t² - 5t²

19t - 18 - (1 + 5)t² =

19t - 18 - 6t²

Hope this helps you!