Question

Let r=1+2i
and s=3+3i
. Find r⋅s

Answer 1

• 
  `\boxed{\sf 1+9i}`

Explanation:

Given that,

• r = 1+2i

• s = 3+3i

Let's substitute r with 1+2i and s with 3+3i:-

• 
  `\sf 1+2i* 3+3i`

Simplify :-

• 
  `\sf 2i+3`

• 
  `\sf =\underline{6i}`

• 
  `\sf 1+6i+3i`

Combine like terms:-

• 
  `\sf 1+(6i+3i)`

Simplify:-

• 
  `\boxed{\sf 1+9i}`

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Hope this helps!

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Answer 2

-3 + 9l

Explanation:

1 + 2i

3 + 3i

3 + 6i

3i + 6
`i^(2)`

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3 + 9i + 6(-1)

3 + 9i -6

-3 + 9i

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