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What is the sum of the coefficients in the expansion of (x + 1)^5?
What is the sum of the coefficients in the expansion of (x + 1)^5?
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Practice Questions
1 question
Q1
What is the sum of the coefficients in the expansion of (x + 1)^5?
5
6
31
32
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The sum of the coefficients is found by substituting x = 1, so (1 + 1)^5 = 2^5 = 32.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the sum of the coefficients in the expansion of (x + 1)^5?
Solution:
The sum of the coefficients is found by substituting x = 1, so (1 + 1)^5 = 2^5 = 32.
Steps: 7
Show Steps
Step 1: Understand that we want to find the sum of the coefficients in the expression (x + 1)^5.
Step 2: Realize that to find the sum of the coefficients, we can substitute x with 1.
Step 3: Substitute x = 1 into the expression: (1 + 1)^5.
Step 4: Calculate (1 + 1), which equals 2.
Step 5: Now raise 2 to the power of 5: 2^5.
Step 6: Calculate 2^5, which equals 32.
Step 7: Conclude that the sum of the coefficients in the expansion of (x + 1)^5 is 32.
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