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What is the sum of the coefficients in the expansion of (x + 2)^5? (2021)

Practice Questions

Q1
What is the sum of the coefficients in the expansion of (x + 2)^5? (2021)
  1. 32
  2. 64
  3. 96
  4. 128

Questions & Step-by-Step Solutions

What is the sum of the coefficients in the expansion of (x + 2)^5? (2021)
  • Step 1: Identify the expression you need to expand, which is (x + 2)^5.
  • Step 2: Understand that to find the sum of the coefficients, you can substitute x with 1.
  • Step 3: Substitute x = 1 into the expression: (1 + 2)^5.
  • Step 4: Calculate the expression inside the parentheses: 1 + 2 = 3.
  • Step 5: Now raise 3 to the power of 5: 3^5.
  • Step 6: Calculate 3^5, which is 3 * 3 * 3 * 3 * 3 = 243.
  • Step 7: The final answer, which is the sum of the coefficients, is 243.
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