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If a = 2 and b = 5, what is the value of a² + 2ab + b²?

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Question: If a = 2 and b = 5, what is the value of a² + 2ab + b²?

Options:

  1. 49
  2. 25
  3. 36
  4. 64

Correct Answer: 49

Solution: 

a² + 2ab + b² = 2² + 2*2*5 + 5² = 4 + 20 + 25 = 49.

If a = 2 and b = 5, what is the value of a² + 2ab + b²?

Practice Questions

Q1
If a = 2 and b = 5, what is the value of a² + 2ab + b²?
  1. 49
  2. 25
  3. 36
  4. 64

Questions & Step-by-Step Solutions

If a = 2 and b = 5, what is the value of a² + 2ab + b²?
  • Step 1: Identify the values of a and b. Here, a = 2 and b = 5.
  • Step 2: Write down the expression we need to calculate: a² + 2ab + b².
  • Step 3: Substitute the values of a and b into the expression: 2² + 2*2*5 + 5².
  • Step 4: Calculate each part of the expression: 2² = 4, 2*2*5 = 20, and 5² = 25.
  • Step 5: Add the results from Step 4 together: 4 + 20 + 25.
  • Step 6: Calculate the final sum: 4 + 20 = 24, then 24 + 25 = 49.
  • Algebraic Expressions – The question tests the ability to evaluate a polynomial expression using given values for variables.
  • Substitution – The question requires substituting specific values for variables into an expression.
  • Order of Operations – The question tests understanding of the correct order to perform operations (exponents, multiplication, addition).
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