Answer:
[tex](m-6n)[/tex]
[tex]12p^3[/tex]
[tex]19m^{2}n-114mn^2=19mn\\19mn(m-6n)=19mn \\[/tex]
[tex]24p^{3t}+60p^3=(*********)(2t+5)[/tex]
[tex]24p^{3t}+60p^3\\24\left(p^t\right)^3+60p^3\\2\cdot \:12\left(p^t\right)^3+5\cdot \:12p^3\\12\left(2\left(p^t\right)^3+5p^3\right)\\12\left(2p^{3t}+5p^3\right)\\12(2p^3 p^t+5p^3)\\12p^3(2 p^t+5)[/tex]
[tex]5wz\:+\:25w^2z\:+\:35w^3z\:=\:5wz\\5wz+25w^2z+35w^3z-5wz=5wz-5wz\\35zw^3+25zw^2=0\\5zw^2\left(7w+5\right)=0[/tex]
Considering just the LHS:
[tex]5wz\:+\:25w^2z\:+\:35w^3z\:\\5wz(1+5w+7w^2)\\5wz(1+5w-(-7w^2))[/tex]
