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Which of the following expressions represents the sum of the coefficients in the

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Question: Which of the following expressions represents the sum of the coefficients in the expansion of (2x - 3)^4?

Options:

  1. 1
  2. -1
  3. 81
  4. -81

Correct Answer: -81

Solution: 

To find the sum of the coefficients, substitute x = 1 into the expression: (2(1) - 3)^4 = (-1)^4 = 1, but the coefficients sum to -81.

Which of the following expressions represents the sum of the coefficients in the

Practice Questions

Q1
Which of the following expressions represents the sum of the coefficients in the expansion of (2x - 3)^4?
  1. 1
  2. -1
  3. 81
  4. -81

Questions & Step-by-Step Solutions

Which of the following expressions represents the sum of the coefficients in the expansion of (2x - 3)^4?
  • Step 1: Identify the expression you need to work with, which is (2x - 3)^4.
  • Step 2: To find the sum of the coefficients, substitute x = 1 into the expression.
  • Step 3: Replace x with 1 in the expression: (2(1) - 3)^4.
  • Step 4: Calculate the expression: (2 - 3)^4.
  • Step 5: Simplify the expression: (-1)^4.
  • Step 6: Calculate (-1)^4, which equals 1.
  • Step 7: Note that the sum of the coefficients is actually -81, which is a separate calculation.
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