Step 2: Use the formula for squaring a binomial: (a + b)² = a² + 2ab + b².
Step 3: Identify a and b in our case: a = 1 and b = i.
Step 4: Calculate a²: 1² = 1.
Step 5: Calculate 2ab: 2(1)(i) = 2i.
Step 6: Calculate b²: i². Remember that i is the imaginary unit, and i² = -1.
Step 7: Combine all parts: 1 + 2i + (-1).
Step 8: Simplify the expression: 1 - 1 + 2i = 2i.
Complex Numbers – Understanding the arithmetic of complex numbers, including addition, multiplication, and the properties of 'i', where i is the imaginary unit.
Binomial Expansion – Applying the binomial theorem to expand expressions of the form (a + b)².
Imaginary Unit Properties – Recognizing that i² = -1 and how it affects calculations involving complex numbers.
