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Find the product. Simplify your answer.\newline2(4k21)2(-4k^2 - 1)

Full solution

Q. Find the product. Simplify your answer.\newline2(4k21)2(-4k^2 - 1)
  1. Apply Distributive Property: Apply the distributive property to multiply 22 by each term inside the parentheses.\newline2(4k21)=2×(4k2)+2×(1)2(-4k^2 - 1) = 2 \times (-4k^2) + 2 \times (-1)
  2. Multiply 4k2-4k^2: Multiply 22 by 4k2-4k^2.2×(4k2)=8k22 \times (-4k^2) = -8k^2
  3. Multiply 1-1: Multiply 22 by 1-1. \newline2×(1)=22 \times (-1) = -2
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline8k22-8k^2 - 2

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