Question

D. (3+5i) (6-i) = Show your work.​

Answer 1

Answer:

4i + 9 < simplified version

Step-by-step explanation:

3 + 5i + 6 - i =

4i + 9

Answer 2

To multiply this using FOIL:

(3+5i)(6-i)

step 1) 3•6 = 18
step 2) 3• -1i = -3i
Remember: if there is no coefficient, there is technically a 1 there so it’s easier to picture if you put that one in front of the variable.
step 3) 5i•6 = 30i
step 4) 5i• -1i= -5i^2

that turns into the expression 18-3i+30i-5i^2
then you can gather like terms (the -3i and 30i) 18+27i-5i^2

Remember that when you have and i that’s squared, it turns into -1.

So, the new expression is 18+27i-5(-1)
Remember to use order of operations and multiply first -5(-1)=5

18+27i+5

Then combine the constants (18 and 5)

The answer is: 23+27i