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Find the product. Simplify your answer. \newline4u2(3u2+3u)4u^2(3u^2 + 3u)

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Full solution

Q. Find the product. Simplify your answer. \newline4u2(3u2+3u)4u^2(3u^2 + 3u)
  1. Distribute 4u24u^2: Distribute 4u24u^2 to both terms inside the parentheses.\newline4u2(3u2+3u)=4u2×3u2+4u2×3u4u^2(3u^2 + 3u) = 4u^2 \times 3u^2 + 4u^2 \times 3u
  2. Simplify 4u2×3u24u^2 \times 3u^2: Simplify 4u2×3u24u^2 \times 3u^2.\newline4u2×3u2=12u2+2=12u44u^2 \times 3u^2 = 12u^{2+2} = 12u^4
  3. Simplify 4u2×3u4u^2 \times 3u: Simplify 4u2×3u4u^2 \times 3u.4u2×3u=12u(2+1)=12u34u^2 \times 3u = 12u^{(2+1)} = 12u^3
  4. Combine results: Combine the results from Step 22 and Step 33.\newline4u2(3u2+3u)=12u4+12u34u^2(3u^2 + 3u) = 12u^4 + 12u^3

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