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Find the product. Simplify your answer. \newlined2(2d24d)-d^2(2d^2 - 4d)

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Q. Find the product. Simplify your answer. \newlined2(2d24d)-d^2(2d^2 - 4d)
  1. Identify expression: Identify the expression after using the distributive property.\newlineDistribute d2-d^2 to 2d22d^2 and 4d-4d.\newlined2(2d24d)=d2(2d2)+d2(4d)-d^2(2d^2 - 4d) = -d^2(2d^2) + d^2(4d)
  2. Distribute d2-d^2: Simplify d2(2d2)-d^2(2d^2). Multiply d2-d^2 and 2d22d^2. d2(2d2)=2d4-d^2(2d^2) = -2d^4
  3. Simplify d2(2d2)-d^2(2d^2): Simplify d2(4d)d^2(4d).\newlineMultiply d2d^2 and 4d4d.\newlined2(4d)=4d3d^2(4d) = 4d^3
  4. Simplify d2(4d)d^2(4d): Combine the results from Step 22 and Step 33.\newlineWe found:\newlined2(2d2)=2d4-d^2(2d^2) = -2d^4\newlined2(4d)=4d3d^2(4d) = 4d^3\newlineThe simplified form of d2(2d24d)-d^2(2d^2 - 4d) is:\newlined2(2d24d)=2d4+4d3-d^2(2d^2 - 4d) = -2d^4 + 4d^3

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