Question

5. Simplify each expression:
a. -(4i – 1 + 3i) + (61 – 10)

Answer 1

52 - 7i

Explanation:

collect like terms -4i + 3i and 61-10

-(7i-1) + (61 - 10) Now remove the ( ) for next step adding terms

- 7i + 1 + 51 add the numbers

-7i + 52 To get rid of the -7i Reorder the terms changing the sign

52= -7i

Answer 2

`\large\boxed{52 - 7i}`

Explanation:

-(4i – 1 + 3i) + (61 – 10)

Rearrange to easier combine like terms

-(4i + 3i - 1) + (61 - 10)

Simplify

-(7i - 1) + 51

Remover parenthesis, change - sign to + due to double - signs.

-7i + 1 + 51

-7i + 52

Rearrange equation to minimize operations.

`\large\boxed{52-7i}`

Hope this helps, let me know if you have any questions!