Final answer:
None of the options provided, (A) (m - 4) × (m - 100), (B) 5 × (m - 4), (C) 5 × (m - 100), nor (D) (m - 4) × (m - 100) are equivalent to the expression m - 20.
Step-by-step explanation:
To find which expression is equivalent to m - 20, we need to look at options A to D and see if any of them simplify to m - 20 when calculated.
Option A: (m - 4) × (m - 100) expands to m^2 - 100m - 4m + 400, which simplifies to m^2 - 104m + 400 and does not equal to m - 20.
Option B: 5 × (m - 4) simplifies to 5m - 20, which is not equivalent to m - 20 because of the 5 before m.
Option C: 5 × (m - 100) simplifies to 5m - 500, which is not equivalent to m - 20.
Option D: This option is the same as option A and does not equal to m - 20.
As we can conclude, none of the options given are equivalent to m - 20.