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Find the product. Simplify your answer.\newline3k(3k2−3k)3k(3k^2 - 3k)

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Full solution

Q. Find the product. Simplify your answer.\newline3k(3k2−3k)3k(3k^2 - 3k)
  1. Simplify First Term: Now, we simplify each term separately.\newlineFirst term: 3k×3k23k \times 3k^2\newline= 9k39k^3 (Multiplying the coefficients and adding the exponents)
  2. Simplify Second Term: Second term: −3k×3k-3k \times 3k\newline= −9k2-9k^2 (Multiplying the coefficients and subtracting the exponents since k1×k1=k1+1=k2k^1 \times k^1 = k^{1+1} = k^2)
  3. Combine Simplified Terms: Combine the simplified terms to get the final answer. 3k(3k2−3k)=9k3−9k23k(3k^2 - 3k) = 9k^3 - 9k^2

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