Question

the variable Z1 and Z2 are defined as z1 equals 6i+3i and z2 equals 10 + 8i which expression is equivalent to Z1Z2

Answer 1

If you multiply the two numbers, you will have 36 + 78i.
*I assumed you had a typo in the first expression, it is generally written as 6 + 3i. If you meant, 6i + 3i, it should have been just 9i.

To find this product, we use the foil method.

(6 + 3i)(10 + 8i)
60 + 48i + 30i + 24i^2
60 + 78i + 24(-1)
34 + 78i

Answer 2

Using complex numbers, it is found that the equivalent expression is:

$z_1z_2 = 36 + 78i$

The most important complex number rule is:

$i^2 = -1$

The complex numbers given are:

$z_1 = 6 + 3i$

$z_2 = 10 + 8i$

The multiplication is:

$z_1z_2 = (6 + 3i)(10 + 8i)$

Applying the distributive property:

$z_1z_2 = (6 + 3i)(10 + 8i) = 60 + 30i + 48i + 24i^2 = 60 - 24 + 78i = 36 + 78i$

Hence, the equivalent expression is:

$z_1z_2 = 36 + 78i$

A similar problem is given at https://brainly.com/question/24715845