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Find the product. Simplify your answer. \newlineh2(3h2+h+4)h^2(3h^2 + h + 4)

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Full solution

Q. Find the product. Simplify your answer. \newlineh2(3h2+h+4)h^2(3h^2 + h + 4)
  1. Distribute h2h^2: We need to distribute h2h^2 across each term in the parentheses (3h2+h+4)(3h^2 + h + 4).
  2. Multiply 3h23h^2: Multiply h2h^2 by the first term in the parentheses, 3h23h^2.\newlineCalculation: h2×3h2=3h4h^2 \times 3h^2 = 3h^4
  3. Multiply hh: Multiply h2h^2 by the second term in the parentheses, hh.\newlineCalculation: h2×h=h3h^2 \times h = h^3
  4. Multiply 44: Multiply h2h^2 by the third term in the parentheses, 44.\newlineCalculation: h2×4=4h2h^2 \times 4 = 4h^2
  5. Combine results: Combine the results of the multiplications to get the final simplified product.\newlineCalculation: 3h4+h3+4h23h^4 + h^3 + 4h^2

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