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Find the product. Simplify your answer.\newline(4k2)(4k3)(4k - 2)(4k - 3)

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Q. Find the product. Simplify your answer.\newline(4k2)(4k3)(4k - 2)(4k - 3)
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials.\newline(4k2)(4k3)=4k(4k)+4k(3)2(4k)2(3)(4k - 2)(4k - 3) = 4k(4k) + 4k(-3) - 2(4k) - 2(-3)
  2. Perform Multiplication: Perform the multiplication for each term.\newline4k(4k)=16k24k(4k) = 16k^2\newline4k(3)=12k4k(-3) = -12k\newline2(4k)=8k-2(4k) = -8k\newline2(3)=6-2(-3) = 6
  3. Combine Like Terms: Combine the like terms from the multiplication. 16k212k8k+616k^2 - 12k - 8k + 6
  4. Add Coefficients: Add the coefficients of the like terms to simplify the expression. 16k220k+616k^2 - 20k + 6

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