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What is the sum of the coefficients in the expansion of (3x - 2)^4? (2023)

Practice Questions

Q1
What is the sum of the coefficients in the expansion of (3x - 2)^4? (2023)
  1. 1
  2. 81
  3. 64
  4. 256

Questions & Step-by-Step Solutions

What is the sum of the coefficients in the expansion of (3x - 2)^4? (2023)
  • Step 1: Identify the expression we need to expand, which is (3x - 2)^4.
  • Step 2: To find the sum of the coefficients, we substitute x = 1 into the expression.
  • Step 3: Substitute x = 1 into the expression: (3(1) - 2)^4.
  • Step 4: Calculate the expression inside the parentheses: (3 - 2) = 1.
  • Step 5: Now raise the result to the power of 4: 1^4.
  • Step 6: Calculate 1^4, which equals 1.
  • Step 7: The final result, which is the sum of the coefficients, is 1.
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