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Which expression is equivalent to 8(c+6)8(c + 6)?\newlineChoices:\newline(A) 8c+488c + 48\newline(B) 48c+848c + 8\newline(C) 14c14c\newline(D) 48c48c

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Identify equivalent linear expressions Iright chevron icon

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Q. Which expression is equivalent to 8(c+6)8(c + 6)?\newlineChoices:\newline(A) 8c+488c + 48\newline(B) 48c+848c + 8\newline(C) 14c14c\newline(D) 48c48c
  1. Apply Distributive Property: Apply the distributive property to the expression 8(c+6)8(c + 6).\newlineThe distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. So, we will distribute the 88 to both cc and 66.\newline8(c+6)=8⋅c+8⋅68(c + 6) = 8\cdot c + 8\cdot 6
  2. Perform Multiplication: Perform the multiplication.\newline8c=8c8c = 8c\newline8×6=488 \times 6 = 48\newlineSo, 8(c+6)=8c+488(c + 6) = 8c + 48
  3. Match with Choices: Match the result with the given choices.\newlineThe expression 8c+488c + 48 matches choice (A)(A).

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