Respuesta :

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{ - 3i + 1}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(4 + 2i) + ( - 3 - 5i)}[/tex]

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

[tex] \sf{4 + 2i - 3 - 5i}[/tex]

Collect like terms

⇒[tex] \sf{ - 3i + 4 - 3}[/tex]

Calculate the difference

⇒[tex] \sf{ - 3i + 1}[/tex]

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Answer:

  1 -3i

Step-by-step 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