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

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

Options:

Correct Answer: 16

Solution:

The sum of the coefficients in the expansion of (x + 1)^4 is (1 + 1)^4 = 2^4 = 16.

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

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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