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31 votes
31 votes
Perform the given operation :
(1+5i) (5+3i)

User Taylor Lafrinere
by
2.5k points

2 Answers

13 votes
13 votes

Answer:

-10 + 28i

Explanation:

User Rgerganov
by
3.2k points
24 votes
24 votes

Given ↓

  • (1+5i)(5+3i)

To Find ↓

  • (1+5i)(5+3i)

Calculations ↓

Multiply the binomials ↓

1*5+3i+(5i*5)+(5i*3i)

Simplify ↓

5+3i+25i+15i²

Combine like terms ↓

5+28i+15i²

Now, since i is the square root of -1, i² (i times i) is equal to -1 ↓

5+28i-15

28i-15+5

28i-10

So the final ans is 28i-10

hope helpful ~

User Ilya Karpeev
by
3.0k points