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Algebra 2 Math Analytics Find the product. Simplify your answer. (4d-2)(2d-4)

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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:

  1. Multiply the first terms: 4d × 2d = 8d^2.
  2. Multiply the outer terms: 4d × (-4) = -16d.
  3. Multiply the inner terms: -2 × 2d = -4d.
  4. Multiply the last terms: -2 × (-4) = 8.
  5. Combine like terms: 8d^2 - 16d - 4d + 8.
  6. Simplify:

The simplified product is 8d^2 - 20d + 8..

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