What is the sum of the coefficients in the expansion of (x + 2)^5? (2021)

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Question: What is the sum of the coefficients in the expansion of (x + 2)^5? (2021)

Options:

Correct Answer: 64

Exam Year: 2021

Solution:

The sum of the coefficients is found by substituting x=1. So, (1 + 2)^5 = 3^5 = 243.

What is the sum of the coefficients in the expansion of (x + 2)^5? (2021)

What is the sum of the coefficients in the expansion of (x + 2)^5? (2021)

Step 1: Identify the expression you need to expand, which is (x + 2)^5.
Step 2: Understand that to find the sum of the coefficients, you can substitute x with 1.
Step 3: Substitute x = 1 into the expression: (1 + 2)^5.
Step 4: Calculate the expression inside the parentheses: 1 + 2 = 3.
Step 5: Now raise 3 to the power of 5: 3^5.
Step 6: Calculate 3^5, which is 3 * 3 * 3 * 3 * 3 = 243.
Step 7: The final answer, which is the sum of the coefficients, is 243.

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