Final answer:
After substituting m = 1, n = -2, and p = 3 into the expression 4mn(m-2n+p) and simplifying, the correct answer is found to be -64.
Step-by-step explanation:
To evaluate the expression 4mn(m-2n+p) with given values of m = 1, n = -2, and p = 3 we simply substitute these values into the expression:
Now, substituting we get:
4mn(m-2n+p) = 4 × 1 × (-2)×((1) - 2×(-2) + (3))
Calculate the values within the parentheses first:
(1) - 2×(-2) + (3) = 1 + 4 + 3 = 8
Now multiply by 4mn:
4 × 1 × (-2) × 8 = -8 × 8 = -64
Therefore, the correct answer is -64.