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Which expression is equivalent to 3(4a)3(4a)?\newlineChoices:\newline(A) 12a12a\newline(B) a+7a + 7\newline(C) a+12a + 12\newline(D) 4a+34a + 3

Full solution

Q. Which expression is equivalent to 3(4a)3(4a)?\newlineChoices:\newline(A) 12a12a\newline(B) a+7a + 7\newline(C) a+12a + 12\newline(D) 4a+34a + 3
  1. Determine product of 33 and 44: Determine the product of 33 and 44. \newline3×4=123 \times 4 = 12
  2. Apply distributive property: Apply the distributive property to multiply 33 by each term inside the parentheses.3(4a)=(3×4)a3(4a) = (3 \times 4)a
  3. Substitute result into expression: Substitute the result from Step 11 into the expression.\newline(3×4)a=12a(3 \times 4)a = 12a
  4. Choose equivalent expression: Choose the equivalent expression for 3(4a)3(4a) from the given choices.\newlineThe equivalent expression is 12a12a, which corresponds to choice (A)(A).

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