SOLUTION: Multipy. Write result in a+bi form. 3i(3+8i) Answers: A) 24+9i B) -15i C) -24+9i D) 17i

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Question 146082: Multipy. Write result in a+bi form.
3i(3+8i)
Answers:
A) 24+9i
B) -15i
C) -24+9i
D) 17i

Found 3 solutions by Earlsdon, jim_thompson5910, nerdybill:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Multply:
Apply the distributive property.
Simplify.
Substitute
Simplify.

Answer C is the choice.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Distribute 3i to


Multiply


Replace with -1


Multiply


Rearrange the terms

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
3i(3+8i)
distribute the 3i to each term inside the parenthesis:
(3i)(3)+(3i)(8i)
= (3*3*i) + (3*8*i*i)
= 9i + ((3*8)*(i*i))
= 9i + ((24)*(-1))
= 9i + (-24)
= -24 + 9i


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