Q:

What is the sum of 12-5i and -3+4i ? -16+63i 9-i 9-9i 15-9i

What is the sum of 12-5i and -3+4i ? -16+63i 9-i 9-9i 15-9i

Accepted Solution

A:
Answer:[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{9 - i}}}}}[/tex]Step-by-step explanation:[tex] \sf{12 - 5i + ( - 3 + 4i)}[/tex]When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expression remains the same. Just remove the parentheses[tex] \longrightarrow{ \sf{12 - 5i - 3 + 4i}}[/tex]Collect like terms[tex] \longrightarrow{ \sf{ 12 - 3 - 5i + 4i}}[/tex]Subtract 3 from 12[tex] \longrightarrow{ \sf{9 - 5i + 4i}}[/tex]Collect like terms[tex] \longrightarrow{ \sf{9 - i}}[/tex]Hope I helped!Best regards! :D What is the sum of 12-5i and -3+4i ? -16+63i 9-i 9-9i 15-9i 65047e58b432d.webp