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Find the product. Simplify your answer. \newline3h2(h2−5)3h^2(h^2 - 5)

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Full solution

Q. Find the product. Simplify your answer. \newline3h2(h2−5)3h^2(h^2 - 5)
  1. Distribute terms: Distribute 3h23h^2 to both h2h^2 and −5-5 in the expression 3h2(h2−5)3h^2(h^2 - 5). \newline3h2(h2−5)=3h2×h2−3h2×53h^2(h^2 - 5) = 3h^2 \times h^2 - 3h^2 \times 5
  2. Simplify product: Simplify 3h2×h23h^2 \times h^2. \newline3h2×h2=3×h2×h2=3h43h^2 \times h^2 = 3 \times h^2 \times h^2 = 3h^4
  3. Simplify product: Simplify 3h2×53h^2 \times 5.\newline3h2×5=15h23h^2 \times 5 = 15h^2
  4. Combine terms: Combine the simplified terms to get the final answer.\newline3h2(h2−5)=3h4−15h23h^2(h^2 - 5) = 3h^4 - 15h^2

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