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Find the product. Simplify your answer.\newline(2r−3)(r−3)(2r - 3)(r - 3)

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Full solution

Q. Find the product. Simplify your answer.\newline(2r−3)(r−3)(2r - 3)(r - 3)
  1. Apply Distributive Property: Apply the distributive property to multiply the first term of the first binomial by each term of the second binomial.\newlineCalculation: (2r−3)(r)+(2r−3)(−3)(2r - 3)(r) + (2r - 3)(-3)\newlineMath error check:
  2. Multiply Terms: Multiply 2r2r by rr and 2r2r by −3-3.\newlineCalculation: 2r×r=2r22r \times r = 2r^2 and 2r×−3=−6r2r \times -3 = -6r\newlineMath error check:
  3. Combine Results: Multiply −3-3 by rr and −3-3 by −3-3.\newlineCalculation: −3×r=−3r-3 \times r = -3r and −3×−3=9-3 \times -3 = 9\newlineMath error check:
  4. Combine Like Terms: Combine the results from Step 22 and Step 33.\newlineCalculation: 2r2−6r−3r+92r^2 - 6r - 3r + 9\newlineMath error check:
  5. Combine Like Terms: Combine the results from Step 22 and Step 33.\newlineCalculation: 2r2−6r−3r+92r^2 - 6r - 3r + 9\newlineMath error check: Combine like terms.\newlineCalculation: 2r2−9r+92r^2 - 9r + 9\newlineMath error check:

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