Anyone Good at SIMPLIFYING and factoring? 5STARS 10pts

Please n thanks <3
1) (5b)^4 (6c)^2


2) (13x-1) (x+3)



3) (x^4 - x^3 - 10x^2 + 4x + 29) ÷ (x - 2)


Factor completely. If the polynomial is not favorable, write prime

4) x^2 - 14x + 45
4)

1)
(5b)^4*(6c)^2 =
625b^4 *36c^2 =
22,500b^4 c^2 <----------Answer

2)
(13x - 1)(x + 3); use FOIL
13x^2 + 39x - 1x - 3; combine like terms
13x^2 + 38x - 3 <---------Answer

3) Use synthetic division

[2]

1 | -1 | -10 | 4 | 29 |

___2__ 2_-16_-24__________
1...1....-8...-12...5

x^3 + x^2 - 8x - 12 + 5/x-2 <----------Answer

4)
x^2 - 14x + 45; factor
(x - 9)(x - 5) <----------Answer

Blessings