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Find the product. Simplify your answer. \newline2q2(2q2+q)2q^2(-2q^2 + q)

Full solution

Q. Find the product. Simplify your answer. \newline2q2(2q2+q)2q^2(-2q^2 + q)
  1. Distribute 2q22q^2: We need to distribute 2q22q^2 across the terms inside the parentheses (2q2+q)(-2q^2 + q). First, multiply 2q22q^2 by 2q2-2q^2. Calculation: 2q2×2q2=4q42q^2 \times -2q^2 = -4q^4
  2. Multiply 2q2-2q^2: Next, multiply 2q22q^2 by qq.\newlineCalculation: 2q2×q=2q32q^2 \times q = 2q^3
  3. Multiply q: Combine the results from the two multiplications to get the final simplified expression.\newlineCalculation: 4q4+2q3-4q^4 + 2q^3

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