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What is the value of (1 + i)(1 - i)? (2019)

Practice Questions

Q1
What is the value of (1 + i)(1 - i)? (2019)
  1. 2
  2. 0
  3. 1
  4. 1 + 0i

Questions & Step-by-Step Solutions

What is the value of (1 + i)(1 - i)? (2019)
  • Step 1: Identify the expression we need to calculate: (1 + i)(1 - i).
  • Step 2: Recognize that this expression is in the form of (a + b)(a - b), where a = 1 and b = i.
  • Step 3: Use the formula (a + b)(a - b) = a^2 - b^2.
  • Step 4: Substitute a and b into the formula: (1 + i)(1 - i) = 1^2 - i^2.
  • Step 5: Calculate 1^2, which is 1.
  • Step 6: Calculate i^2. We know that i^2 = -1.
  • Step 7: Substitute these values back into the equation: 1 - i^2 = 1 - (-1).
  • Step 8: Simplify the expression: 1 - (-1) becomes 1 + 1.
  • Step 9: Finally, calculate 1 + 1, which equals 2.
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