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

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

Options:

Correct Answer: 2

Solution:

(1 + i)(1 - i) = 1^2 - i^2 = 1 - (-1) = 1 + 1 = 2.

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

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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