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Select the expressions that are equivalent to 8(w+1)8(w + 1).\newlineMulti-select Choices:\newline(A) 8w8w\newline(B) 9w9w\newline(C) 8w+88w + 8\newline(D) (1+w)8(1 + w)8

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Full solution

Q. Select the expressions that are equivalent to 8(w+1)8(w + 1).\newlineMulti-select Choices:\newline(A) 8w8w\newline(B) 9w9w\newline(C) 8w+88w + 8\newline(D) (1+w)8(1 + w)8
  1. Distribute 88: Distribute 88 across the terms inside the parentheses.\newlineCalculation: 8(w+1)=8w+88(w + 1) = 8w + 8.
  2. Compare with choices: Compare the result with the given choices.\newlineCalculation: 8w+88w + 8 matches with choice (C) and the expression (1+w)8(1 + w)8 is just a rearrangement of 8(w+1)8(w + 1), so it matches with choice (D).

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