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

Practice Questions

Q1
What is the value of (2 + 3)^3 using the binomial theorem?
  1. 27
  2. 125
  3. 216
  4. 343

Questions & Step-by-Step Solutions

What is the value of (2 + 3)^3 using the binomial theorem?
  • Step 1: Identify the expression we need to evaluate, which is (2 + 3)^3.
  • Step 2: Recognize that 2 + 3 equals 5.
  • Step 3: Rewrite the expression using the sum we found: (2 + 3)^3 becomes 5^3.
  • Step 4: Calculate 5^3, which means 5 multiplied by itself three times: 5 * 5 * 5.
  • Step 5: First, calculate 5 * 5 = 25.
  • Step 6: Next, multiply 25 by 5: 25 * 5 = 125.
  • Step 7: Conclude that the value of (2 + 3)^3 is 125.
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