The given expression is:

$(7 - 9i) - (6 + 2i)$

To simplify this expression into the form $a + bi$, follow these steps:

Step 1: Distribute the negative sign to both terms in the second set of parentheses:

$(7 - 9i) - (6 + 2i) = 7 - 9i - 6 - 2i$

Step 2: Combine the real and imaginary parts:

• Real part: $7 - 6 = 1$
• Imaginary part: $-9i - 2i = -11i$

Final Answer:

$1 - 11i$

Thus, the expression simplified to $a + bi$ form is:

$1 - 11i$

Would you like any further explanation or details? Here are some follow-up questions for practice:

1. How do you add or subtract two complex numbers in general?
2. What is the significance of the imaginary unit $i$ in complex numbers?
3. How would you multiply two complex numbers?
4. How can you convert a complex number into polar form?
5. What is the modulus of a complex number?

Tip: When simplifying expressions involving complex numbers, always separate the real and imaginary parts before combining them.