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What is the sum of the coefficients in the expansion of (x + 1)^5?

Practice Questions

Q1
What is the sum of the coefficients in the expansion of (x + 1)^5?
  1. 5
  2. 6
  3. 31
  4. 32

Questions & Step-by-Step Solutions

What is the sum of the coefficients in the expansion of (x + 1)^5?
  • Step 1: Understand that we want to find the sum of the coefficients in the expression (x + 1)^5.
  • Step 2: Realize that to find the sum of the coefficients, we can substitute x with 1.
  • Step 3: Substitute x = 1 into the expression: (1 + 1)^5.
  • Step 4: Calculate (1 + 1), which equals 2.
  • Step 5: Now raise 2 to the power of 5: 2^5.
  • Step 6: Calculate 2^5, which equals 32.
  • Step 7: Conclude that the sum of the coefficients in the expansion of (x + 1)^5 is 32.
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