Answer:
(4x -3yi) (4x+3yi)
Explanation:
The expression 16x^2 + 9y^2 is a sum of squares, and it can be factored over the complex numbers using the difference of squares formula:
a^2 + b^2 = (a + bi)(a - bi)
In your expression:
a = 4x
b = 3y
So, applying the difference of squares formula:
16x^2 + 9y^2 = (4x + 3yi)(4x - 3yi)
This is the factored form of the expression 16x^2 + 9y^2 over the complex numbers.