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

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Question: What is the value of (2 + 3)^3?

Options:

  1. 25
  2. 30
  3. 35
  4. 40

Correct Answer: 30

Solution: 

Using the binomial theorem, (2 + 3)^3 = C(3,0)(2)^3 + C(3,1)(2)^2(3) + C(3,2)(2)(3)^2 + C(3,3)(3)^3 = 8 + 36 + 54 + 27 = 125.

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

Practice Questions

Q1
What is the value of (2 + 3)^3?
  1. 25
  2. 30
  3. 35
  4. 40

Questions & Step-by-Step Solutions

What is the value of (2 + 3)^3?
  • Step 1: Identify the expression we need to calculate, which is (2 + 3)^3.
  • Step 2: First, calculate the sum inside the parentheses: 2 + 3 = 5.
  • Step 3: Now we need to calculate 5^3 (which is 5 raised to the power of 3).
  • Step 4: To find 5^3, multiply 5 by itself three times: 5 * 5 * 5.
  • Step 5: Calculate 5 * 5 = 25.
  • Step 6: Now multiply 25 by 5: 25 * 5 = 125.
  • Step 7: Therefore, the value of (2 + 3)^3 is 125.
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