Answer: The answer is (C) 5cd.
Step-by-step explanation: We are given to find the G.C.F of the following two expressions:
[tex]-10c^2d~~~\textup{and}~~~15cd^2.[/tex]
The two expressions can be written as
[tex]-10c^2d=-1\times 2\times 5\times c \times c\times d,[/tex]
and
[tex]15cd^2=3\times 5\times c\times d\times d.[/tex]
Therefore, the greatest common factor (G.C.F.) is
[tex]G.C.F.=5\times c\times d=5cd.[/tex]
Thus, the answer is 5cd.
