What is the sum of the coefficients in the expansion of (x + 1)^4?

Practice Questions

Q1
What is the sum of the coefficients in the expansion of (x + 1)^4?
  1. 4
  2. 8
  3. 16
  4. 32

Questions & Step-by-Step Solutions

What is the sum of the coefficients in the expansion of (x + 1)^4?
  • Step 1: Identify the expression we need to expand, which is (x + 1)^4.
  • Step 2: To find the sum of the coefficients, we can substitute x with 1 in the expression.
  • Step 3: Substitute x with 1: (1 + 1)^4.
  • Step 4: Simplify the expression: (1 + 1) becomes 2.
  • Step 5: Now calculate 2 raised to the power of 4: 2^4.
  • Step 6: Calculate 2^4, which equals 16.
  • Step 7: The final answer is 16, which is the sum of the coefficients.
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