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What is the value of (3 - 2)^5 using the binomial theorem?

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Question: What is the value of (3 - 2)^5 using the binomial theorem?

Options:

  1. 1
  2. 0
  3. -1
  4. -2

Correct Answer: 1

Solution: 

Using the binomial theorem, (3 - 2)^5 = 1^5 = 1.

What is the value of (3 - 2)^5 using the binomial theorem?

Practice Questions

Q1
What is the value of (3 - 2)^5 using the binomial theorem?
  1. 1
  2. 0
  3. -1
  4. -2

Questions & Step-by-Step Solutions

What is the value of (3 - 2)^5 using the binomial theorem?
  • Step 1: Identify the expression we need to evaluate, which is (3 - 2)^5.
  • Step 2: Simplify the expression inside the parentheses: 3 - 2 equals 1.
  • Step 3: Now we have 1^5 to evaluate.
  • Step 4: Calculate 1 raised to the power of 5, which is 1.
  • Step 5: Therefore, the value of (3 - 2)^5 is 1.
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