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Find the product. Simplify your answer.\newlinek(2k2−7)k(2k^2 - 7)

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Full solution

Q. Find the product. Simplify your answer.\newlinek(2k2−7)k(2k^2 - 7)
  1. Identify Distributive Property: k(2k2−7)k(2k^2 - 7)\newlineIdentify the expression after using the distributive property.\newlineDistribute kk to 2k22k^2 and −7-7.\newlinek(2k2−7)=k(2k2)−k(7)k(2k^2 - 7) = k(2k^2) - k(7)
  2. Simplify Distributive Property: Simplify k(2k2)k(2k^2).\newlineMultiply kk and 2k22k^2.\newlinek(2k2)=2k3k(2k^2) = 2k^3
  3. Simplify Multiplication: Simplify k(7)k(7).\newlineMultiply kk and 77.\newlinek(7)=7kk(7) = 7k
  4. Combine Simplified Expressions: We found:\newlinek(2k2)=2k3k(2k^2) = 2k^3\newlinek(7)=7kk(7) = 7k\newlineWhat is the simplified form of k(2k2−7)k(2k^2 - 7)?\newlinek(2k2−7)k(2k^2 - 7) \newline=k(2k2)−k(7)= k(2k^2) - k(7)\newline=2k3−7k= 2k^3 - 7k

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