Question

Find the difference. m 2 (m − 4)2 − m − 2 (m − 4)2 a. 4 (m − 4)2 b. 0 c. 2 (m − 4)2 d. 2m (m − 4)2

Answer 1

To find the difference, distribute the exponent of 2 to both the terms inside the parentheses, then combine like terms.

Step-by-step explanation:

To find the difference, we need to simplify the given expression. First, distribute the exponent of 2 to both the terms inside the parentheses.

m^2 * (m - 4)^2 - (m - 2) * (m - 4)^2

m^2 * (m^2 - 8m + 16) - (m^3 - 6m^2 + 8m - 32)

Next, combine like terms:

m^4 - 8m^3 + 16m^2 - m^3 + 6m^2 - 8m + 32

m^4 - 9m^3 + 22m^2 - 8m + 32

The simplified expression is m^4 - 9m^3 + 22m^2 - 8m + 32.