simplify.\n(3 - i)(3 + i)\nwrite your answer in the form a + bi.

Explanation:

Step1: Use the difference of squares formula ((a - b)(a + b)=a^{2}-b^{2})

Here (a = 3) and (b = i), so ((3 - i)(3 + i)=3^{2}-i^{2})

Step2: Calculate (3^{2}) and (i^{2})

We know that (3^{2}=9) and (i^{2}=- 1) (by the definition of the imaginary unit (i), where (i=\sqrt{-1}), so (i^{2}=-1)). Then (3^{2}-i^{2}=9-(-1))

Step3: Simplify the expression

(9-(-1)=9 + 1)

Answer:

(10+0i)