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Solve (4 - 5i)(-5 + i) write answer in the form of a+bi show all steps
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3 votes
Solve (4 - 5i)(-5 + i)
write answer in the form of a+bi
show all steps

User Ramy Al Zuhouri
by
3.5k points

2 Answers

3 votes
(4-5i)(-5+i)
= 4x-5 + 4xi + -5i x -5 + -5ixi
= -20 + 4i +25i -5i²
User Libbie
by
3.9k points
3 votes
Use Foil, or the box method to multiply
4 -5i
-5 -20 25i
i 4i -5i^2

Combine like terms
-5i^2 +29i -20

By definition i^2 is equal to -1
Plug it in
-5(-1) +29i -20
29i -20 + 5

ANSWER:
29i -15
User Aswin Mohan
by
3.8k points
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