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What is the value of (1 + 2)^5 using the binomial theorem?

Practice Questions

Q1
What is the value of (1 + 2)^5 using the binomial theorem?
  1. 32
  2. 64
  3. 128
  4. 256

Questions & Step-by-Step Solutions

What is the value of (1 + 2)^5 using the binomial theorem?
  • Step 1: Identify the expression we want to evaluate, which is (1 + 2)^5.
  • Step 2: Simplify the expression inside the parentheses: 1 + 2 = 3.
  • Step 3: Rewrite the expression using the simplified value: (1 + 2)^5 becomes 3^5.
  • Step 4: Calculate 3^5. This means multiplying 3 by itself 5 times: 3 * 3 * 3 * 3 * 3.
  • Step 5: Perform the multiplication step-by-step: 3 * 3 = 9, then 9 * 3 = 27, then 27 * 3 = 81, and finally 81 * 3 = 243.
  • Step 6: Conclude that the value of (1 + 2)^5 is 243.
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