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If a = 3 and b = 5, what is the value of a² + b² - 2ab?

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Question: If a = 3 and b = 5, what is the value of a² + b² - 2ab?

Options:

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

Correct Answer: 1

Solution: 

a² + b² - 2ab = 3² + 5² - 2(3)(5) = 9 + 25 - 30 = 4.

If a = 3 and b = 5, what is the value of a² + b² - 2ab?

Practice Questions

Q1
If a = 3 and b = 5, what is the value of a² + b² - 2ab?
  1. -1
  2. 1
  3. 0
  4. 2

Questions & Step-by-Step Solutions

If a = 3 and b = 5, what is the value of a² + b² - 2ab?
  • Step 1: Identify the values of a and b. Here, a = 3 and b = 5.
  • Step 2: Substitute the values of a and b into the expression a² + b² - 2ab.
  • Step 3: Calculate a². Since a = 3, a² = 3² = 9.
  • Step 4: Calculate b². Since b = 5, b² = 5² = 25.
  • Step 5: Calculate 2ab. Since a = 3 and b = 5, 2ab = 2(3)(5) = 30.
  • Step 6: Now substitute the calculated values into the expression: 9 + 25 - 30.
  • Step 7: Add 9 and 25 to get 34.
  • Step 8: Subtract 30 from 34 to get 4.
  • Algebraic Expressions – The question tests the ability to evaluate a quadratic expression using given values for variables.
  • Substitution – The question requires substituting specific values into an algebraic expression.
  • Understanding of Squares and Products – The question assesses knowledge of squaring numbers and calculating products.
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