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Find the product. Simplify your answer. \newline4(4p2+3p)4(-4p^2 + 3p)

Full solution

Q. Find the product. Simplify your answer. \newline4(4p2+3p)4(-4p^2 + 3p)
  1. Apply Distributive Property: Apply the distributive property to multiply 44 by each term inside the parentheses.4(4p2+3p)=4(4p2)+4(3p)4(-4p^2 + 3p) = 4(-4p^2) + 4(3p)
  2. Multiply 4p2-4p^2: Multiply 44 by 4p2-4p^2.4(4p2)=16p24(-4p^2) = -16p^2
  3. Multiply 3p3p: Multiply 44 by 3p3p.\newline4(3p)=12p4(3p) = 12p
  4. Combine Results: Combine the results from Step 22 and Step 33 to get the final simplified expression.\newline4(4p2+3p)=16p2+12p4(-4p^2 + 3p) = -16p^2 + 12p

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