Final answer:
The factored form of the expression 16x² + 9y² over the complex numbers is (4x + 3iy)(4x - 3iy).
Step-by-step explanation:
The factored form of the expression 16x² + 9y² over the complex numbers is (4x + 3iy)(4x - 3iy).
To factor the expression, we can use the difference of squares formula. The difference of squares formula states that for any two numbers a and b, the expression a² - b² can be factored as (a + b)(a - b). In this case, a = 4x and b = 3iy.
Substituting the values into the formula, we get (4x + 3iy)(4x - 3iy), which is the factored form of the expression.