NOTE: Once you choose a variable, you MUST use the same variable CONSISTENTLY. Your variable "r" is not the same as variable "R". That aside, you have:
Expand the following:
(4 r - 3) (2 r - 1)
(4 r - 3) (2 r - 1) = (4 r) (2 r) + (4 r) (-1) + (-3) (2 r) + (-3) (-1):
4 2 r r - 4 r - 3 2 r - 3 (-1)
4 r×2 r = 4 r^2×2:
4×2 r^2 - 4 r - 3 2 r - 3 (-1)
4×2 = 8:
8 r^2 - 4 r - 3 2 r - 3 (-1)
-3×2 = -6:
8 r^2 - 4 r + -6 r - 3 (-1)
-3 (-1) = 3:
8 r^2 - 4 r - 6 r + 3
-6 r - 4 r = -10 r:
Answer: |8r^2 + -10r + 3
