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Find the product. Simplify your answer. \newline3m2(2m2m)3m^2(-2m^2 - m)

Full solution

Q. Find the product. Simplify your answer. \newline3m2(2m2m)3m^2(-2m^2 - m)
  1. Distribute 3m23m^2: We need to distribute 3m23m^2 across each term in the second polynomial (2m2m-2m^2 - m).\newlineFirst, multiply 3m23m^2 by 2m2-2m^2.\newlineCalculation: 3m2×2m2=6m43m^2 \times -2m^2 = -6m^4
  2. Multiply 2m2-2m^2: Next, multiply 3m23m^2 by m-m.\newlineCalculation: 3m2×m=3m33m^2 \times -m = -3m^3
  3. Multiply m-m: Combine the results from the two multiplications to get the final simplified product.\newlineCalculation: 6m43m3-6m^4 - 3m^3

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