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Find the product. Simplify your answer.\newline(2w−1)(2w−2)(2w - 1)(2w - 2)

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Multiply two binomialsright chevron icon

Full solution

Q. Find the product. Simplify your answer.\newline(2w−1)(2w−2)(2w - 1)(2w - 2)
  1. Apply Distributive Property: Apply the distributive property to multiply the two binomials (2w−1)(2w - 1) and (2w−2)(2w - 2).(2w−1)(2w−2)=2w(2w)+2w(−2)−1(2w)−1(−2)(2w - 1)(2w - 2) = 2w(2w) + 2w(-2) - 1(2w) - 1(-2)
  2. Perform Multiplication for Each Term: Perform the multiplication for each term.\newline2w(2w)=4w22w(2w) = 4w^2\newline2w(−2)=−4w2w(-2) = -4w\newline−1(2w)=−2w-1(2w) = -2w\newline−1(−2)=2-1(-2) = 2
  3. Combine Like Terms: Combine like terms.\newline4w2−4w−2w+2=4w2−6w+24w^2 - 4w - 2w + 2 = 4w^2 - 6w + 2

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