Question

(4 + 2i) + (-3 – 5i) show your work

Answer 1

`\boxed{ \bold{ \huge{\boxed{ \sf{ - 3i + 1}}}}}`

Explanation:

`\sf{(4 + 2i) + ( - 3 - 5i)}`

When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign.

That means the expression remains the same.

Just remove the parentheses

`\sf{4 + 2i - 3 - 5i}`

Collect like terms

⇒
`\sf{ - 3i + 4 - 3}`

Calculate the difference

⇒
`\sf{ - 3i + 1}`

Hope I helped!

Best regards!!

Answer 2

9514 1404 393

Answer:

1 -3i

Explanation:

For purposes of addition or subtraction, the i can be treated as though it were a variable. Terms can be collected in the usual way.

4 +2i +(-3 -5i) = 4 +2i -3 -5i

= (4 -3) +i(2 -5) = 1 -3i