Answer:
option D is correct, i.e. (5r+2)(3r-4) = 15r² -14r -8.
Explanation:
Given is (5r+2)(3r-4)
Applying FOIL method:-
F- First two, O- Outer two, I- Inner two, L- Last two.
So, (5r+2)(3r-4) = 5r*3r +5r*-4 +2*3r +2*-4
(5r+2)(3r-4) = 15r² -20r +6r -8
(5r+2)(3r-4) = 15r² -14r -8
Hence, option D is correct, i.e. (5r+2)(3r-4) = 15r² -14r -8.