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Which expression is equivalent to 2(4z)2(4z)?\newlineChoices:\newline(A) 4z+24z + 2\newline(B) z+6z + 6\newline(C) z+8z + 8\newline(D) 8z8z

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Full solution

Q. Which expression is equivalent to 2(4z)2(4z)?\newlineChoices:\newline(A) 4z+24z + 2\newline(B) z+6z + 6\newline(C) z+8z + 8\newline(D) 8z8z
  1. Calculate Product: Calculate the product of 22 and 44. \newline2×4=82 \times 4 = 8
  2. Apply Distributive Property: Apply the distributive property to the expression 2(4z)2(4z).2(4z)=(2×4)z=8z2(4z) = (2 \times 4)z = 8z
  3. Match Result: Match the result from Step 22 with the given choices.\newlineThe equivalent expression for 2(4z)2(4z) is 8z8z, which corresponds to choice (D)(D).

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