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

Practice Questions

Q1
What is the sum of the coefficients in the expansion of (2x - 3)^4?
  1. -81
  2. 81
  3. 0
  4. 64

Questions & Step-by-Step Solutions

What is the sum of the coefficients in the expansion of (2x - 3)^4?
  • Step 1: Identify the expression you need to expand, which is (2x - 3)^4.
  • Step 2: To find the sum of the coefficients, substitute x = 1 into the expression.
  • Step 3: Calculate the value of the expression with x = 1: (2*1 - 3)^4.
  • Step 4: Simplify the expression: (2 - 3)^4 = (-1)^4.
  • Step 5: Calculate (-1)^4, which equals 1.
  • Step 6: The sum of the coefficients in the expansion is 1.
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