What is the product of the complex numbers (-3i + 4) and (3i + 4)

Solution:

Given (-3i + 4) and (3i + 4)

Let z₁ = (-3i + 4) and z₂ = (3i + 4)

The product of two complex numbers is given as z₁ . z₂

z₁ . z₂ = (-3i + 4).(3i + 4)

= -3i(3i +4) + 4(3i+4)

=-9 i² -12 i + 12i +16

= 9 + 16 

= 25

Therefore, the product of (-3i + 4) and (3i + 4) is 25

What is the product of the complex numbers (-3i + 4) and (3i + 4)

Summary:

The product of the complex numbers (-3i + 4) and (3i + 4) is 25.