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What is the sum of the coefficients in the expansion of (x + 1)^8?

Practice Questions

Q1
What is the sum of the coefficients in the expansion of (x + 1)^8?
  1. 256
  2. 512
  3. 128
  4. 64

Questions & Step-by-Step Solutions

What is the sum of the coefficients in the expansion of (x + 1)^8?
  • Step 1: Identify the expression you need to expand, which is (x + 1)^8.
  • Step 2: Understand that the sum of the coefficients in the expansion can be found by substituting x = 1 into the expression.
  • Step 3: Substitute x = 1 into the expression: (1 + 1)^8.
  • Step 4: Simplify the expression: (1 + 1) becomes 2, so you have 2^8.
  • Step 5: Calculate 2^8, which equals 256.
  • Step 6: Conclude that the sum of the coefficients in the expansion of (x + 1)^8 is 256.
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