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

Practice Questions

Q1
If a = 2 and b = 3, what is the value of (a + b)² - (a² + b²)?
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Questions & Step-by-Step Solutions

If a = 2 and b = 3, what is the value of (a + b)² - (a² + b²)?
  • Step 1: Identify the values of a and b. Here, a = 2 and b = 3.
  • Step 2: Calculate (a + b). This means add a and b together: 2 + 3 = 5.
  • Step 3: Square the result from Step 2. This means multiply 5 by itself: 5 * 5 = 25.
  • Step 4: Calculate a². This means multiply a by itself: 2 * 2 = 4.
  • Step 5: Calculate b². This means multiply b by itself: 3 * 3 = 9.
  • Step 6: Add the results from Step 4 and Step 5 together: 4 + 9 = 13.
  • Step 7: Subtract the result from Step 6 from the result in Step 3: 25 - 13 = 12.
  • Algebraic Expansion – Understanding how to expand and simplify expressions involving squares and sums.
  • Difference of Squares – Recognizing the relationship between (a + b)² and a² + b².
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