Question

Multiply (5 + 3i)(5 - 3i)
1) 16 + 15i
2) 16 - 15i
3) 16 + 34
4) cannot be determined

Answer 1

Answer:

2) 16 - 15i

Step-by-step explanation:

To Multiply (5 + 3i)(5 - 3i), we can use the FOIL method

The FOIL method stands for First, Outer, Inner, Last.

1. Multiply the First terms in each binomial:

• 5 × 5 = 25

2. Multiply the Outer terms:

• 5 × -3i = -15i

3. Multiply the Inner terms:

• 3i × 5 = 15i

4. Multiply the Last terms:

• 3i × -3i = -9i²

we know that,

i² = -1

Then,

-9i² = -9

Finally, combine the results to simplify the expression.

25 - 9 = 16

Therefore, 16 - 15i is the required answer.