Answer:
C
Step-by-step explanation:
Nice work using latex. I admire anyone who has skills with it.
It looks like this question can be grouped using to sets of brackets.
(4r^3 + 10r^2) : Pull out the common factor. 2r^2* (2r + 5)
The second set of brackets is a little bit tricker. Minus signs are not to be ignored.
(-10r - 25) : -5(2r + 5)
Now put both together,
2r^2(2r + 5) - 5(2r + 5)
Notice that there is a common factor on either side of that isolated minus sign. The common factor is 2r + 5. Use the distributive property to pull it out.
(2r + 5)(2r^2 - 5)
It looks like C will be the answer.