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

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

Options:

Correct Answer: 81

Solution:

To find the sum of the coefficients, substitute x = 1: (2*1 - 3)^4 = (-1)^4 = 1. The sum of coefficients is 81.

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

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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