Final answer:
To solve the expression using the box method, multiply each term in the first parenthesis by each term in the second parenthesis, combine like terms, and simplify the expression.
Step-by-step explanation:
To solve the expression using the box method, we need to multiply each term in the first parenthesis by each term in the second parenthesis.
First, let's multiply the first term in the first parenthesis (4x) by each term in the second parenthesis (-6x and -2):
(4x)(-6x) = -24x^2(4x)(-2) = -8x
Next, let's multiply the second term in the first parenthesis (-4) by each term in the second parenthesis (-6x and -2):
(-4)(-6x) = 24x(-4)(-2) = 8
Now, let's combine the like terms:
-24x^2 - 8x + 24x + 8 = -24x^2 + 16
So the expression (4x-4)(-6x-2) simplifies to -24x^2 + 16.