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Find the product. Simplify your answer. \newline2h(3h2+1)-2h(-3h^2 + 1)

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Q. Find the product. Simplify your answer. \newline2h(3h2+1)-2h(-3h^2 + 1)
  1. Identify and Distribute: Identify the expression and use the distributive property.\newlineWe need to distribute 2h-2h to both terms inside the parentheses: 3h2-3h^2 and 11.\newline2h(3h2+1)=2h(3h2)+2h(1)-2h(-3h^2 + 1) = -2h(-3h^2) + -2h(1)
  2. Simplify 2h(3h2)-2h(-3h^2): Simplify 2h(3h2)-2h(-3h^2). Multiply 2h-2h and 3h2-3h^2. 2h(3h2)=6h3-2h(-3h^2) = 6h^3
  3. Simplify 2h(1)-2h(1): Simplify 2h(1)-2h(1). Multiply 2h-2h and 11. 2h(1)=2h-2h(1) = -2h
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineWe found:\newline2h(3h2)=6h3-2h(-3h^2) = 6h^3\newline2h(1)=2h-2h(1) = -2h\newlineNow, combine these to get the simplified form of 2h(3h2+1)-2h(-3h^2 + 1).\newline2h(3h2+1)=6h32h-2h(-3h^2 + 1) = 6h^3 - 2h

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