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Find the product. Simplify your answer.\newline2h2(4h24h)-2h^2(-4h^2 - 4h)

Full solution

Q. Find the product. Simplify your answer.\newline2h2(4h24h)-2h^2(-4h^2 - 4h)
  1. Distribute First Term: We need to distribute 2h2-2h^2 to both terms in the polynomial (4h24h)(-4h^2 - 4h). Let's start with the first term.\newline2h2×4h2=8h4-2h^2 \times -4h^2 = 8h^4
  2. Distribute Second Term: Now, distribute 2h2-2h^2 to the second term in the polynomial.2h2×4h=8h3-2h^2 \times -4h = 8h^3
  3. Combine Results: Combine the results from the first two steps to get the final simplified product.\newline2h2(4h24h)=8h4+8h3-2h^2(-4h^2 - 4h) = 8h^4 + 8h^3

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