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Find the product. Simplify your answer. \newlinew(3w2−8)w(3w^2 - 8)

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Full solution

Q. Find the product. Simplify your answer. \newlinew(3w2−8)w(3w^2 - 8)
  1. Identify Expression: Identify the expression after using the distributive property.\newlineDistribute ww to 3w23w^2 and −8-8.\newlinew(3w2−8)=w(3w2)−w(8)w(3w^2 - 8) = w(3w^2) - w(8)
  2. Simplify Distributive Property: Simplify w(3w2)w(3w^2). Multiply ww and 3w23w^2. w(3w2)=3w3w(3w^2) = 3w^3
  3. Simplify Multiplication: Simplify w(8)w(8).\newlineMultiply ww and 88.\newlinew(8)=8ww(8) = 8w
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineWe found:\newlinew(3w2)=3w3w(3w^2) = 3w^3\newlinew(8)=8ww(8) = 8w\newlineWhat is the simplified form of w(3w2−8)w(3w^2 - 8)?\newlinew(3w2−8)=3w3−8ww(3w^2 - 8) = 3w^3 - 8w

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