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What is the sum of the coefficients in the expansion of (2 + 3)^4? (2022)

Practice Questions

Q1
What is the sum of the coefficients in the expansion of (2 + 3)^4? (2022)
  1. 81
  2. 64
  3. 100
  4. 125

Questions & Step-by-Step Solutions

What is the sum of the coefficients in the expansion of (2 + 3)^4? (2022)
  • Step 1: Identify the expression we need to evaluate, which is (2 + 3)^4.
  • Step 2: Simplify the expression inside the parentheses: 2 + 3 = 5.
  • Step 3: Now we have 5^4 to calculate.
  • Step 4: Calculate 5^4, which means 5 multiplied by itself 4 times: 5 * 5 * 5 * 5.
  • Step 5: First, calculate 5 * 5 = 25.
  • Step 6: Next, calculate 25 * 5 = 125.
  • Step 7: Finally, calculate 125 * 5 = 625.
  • Step 8: The final result, 625, is the sum of the coefficients in the expansion.
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