Final answer:
The product of the expression (4d-2)(2d-4) is calculated using the distributive property, giving the simplified answer as 8d^2 - 20d + 8.
Step-by-step explanation:
To find the product and simplify the expression (4d-2)(2d-4), we use the distributive property (also known as the FOIL method in this context) to multiply each term in the first binomial by each term in the second binomial.
Step-by-Step Solution:
- Multiply the first terms: 4d × 2d = 8d^2.
- Multiply the outer terms: 4d × (-4) = -16d.
- Multiply the inner terms: -2 × 2d = -4d.
- Multiply the last terms: -2 × (-4) = 8.
- Combine like terms: 8d^2 - 16d - 4d + 8.
- Simplify:
The simplified product is 8d^2 - 20d + 8..