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Find the product. Simplify your answer.\newline(2z−4)(4z−2)(2z - 4)(4z - 2)

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Full solution

Q. Find the product. Simplify your answer.\newline(2z−4)(4z−2)(2z - 4)(4z - 2)
  1. Apply Distributive Property: Apply the distributive property to multiply the two binomials (2z−4)(2z - 4) and (4z−2)(4z - 2).(2z−4)(4z−2)=2z(4z)+2z(−2)−4(4z)−4(−2)(2z - 4)(4z - 2) = 2z(4z) + 2z(-2) - 4(4z) - 4(-2)
  2. Multiply Binomials: Multiply each term in the first binomial by each term in the second binomial.\newline2z(4z)=8z22z(4z) = 8z^2\newline2z(−2)=−4z2z(-2) = -4z\newline−4(4z)=−16z-4(4z) = -16z\newline−4(−2)=8-4(-2) = 8
  3. Combine Like Terms: Combine like terms from the results of the multiplication. 8z2−4z−16z+88z^2 - 4z - 16z + 8
  4. Simplify Further: Add the coefficients of the zz terms to simplify further.8z2−20z+88z^2 - 20z + 8

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