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What is the sum of the coefficients in the expansion of (2 + 3x)^4?
What is the sum of the coefficients in the expansion of (2 + 3x)^4?
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Q1
What is the sum of the coefficients in the expansion of (2 + 3x)^4?
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The sum of the coefficients is found by substituting x = 1: (2 + 3*1)^4 = 5^4 = 625.
Questions & Step-by-step Solutions
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Q
Q: What is the sum of the coefficients in the expansion of (2 + 3x)^4?
Solution:
The sum of the coefficients is found by substituting x = 1: (2 + 3*1)^4 = 5^4 = 625.
Steps: 7
Show Steps
Step 1: Identify the expression you need to expand, which is (2 + 3x)^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 + 3*1).
Step 4: Calculate the value: (2 + 3*1) = (2 + 3) = 5.
Step 5: Now raise this result to the power of 4: 5^4.
Step 6: Calculate 5^4, which is 5 * 5 * 5 * 5 = 625.
Step 7: The final result, 625, is the sum of the coefficients.
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