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Find the product. Simplify your answer. \newline−h2(−3h2−7)-h^2(-3h^2 - 7)

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Full solution

Q. Find the product. Simplify your answer. \newline−h2(−3h2−7)-h^2(-3h^2 - 7)
  1. Distribute −h2-h^2: We need to distribute −h2-h^2 to both terms inside the parentheses: −3h2-3h^2 and −7-7.\newline−h2(−3h2−7)=−h2(−3h2)−h2(−7)-h^2(-3h^2 - 7) = -h^2(-3h^2) - h^2(-7)
  2. Simplify −h2(−3h2)-h^2(-3h^2): Now, let's simplify −h2(−3h2)-h^2(-3h^2).−h2(−3h2)=(−h2)⋅(−3h2)=3h4-h^2(-3h^2) = (-h^2) \cdot (-3h^2) = 3h^4
  3. Simplify −h2(−7)-h^2(-7): Next, we simplify −h2(−7)-h^2(-7).−h2(−7)=(−h2)⋅(−7)=7h2-h^2(-7) = (-h^2) \cdot (-7) = 7h^2
  4. Combine results: Combine the results from the previous steps to get the final simplified expression.\newline−h2(−3h2−7)=3h4+7h2-h^2(-3h^2 - 7) = 3h^4 + 7h^2

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