Perform each operation. Write answers in standard form. 15i- (...

Question

Perform each operation. Write answers in standard form. 15i- (3+2i) -11

Accepted Answer

Hello everyone. This figure we're gonna be looking at this practice problem where we want to perform the subtraction I minus 6-plus 13 I -19. And we want to express our answer in standard form. So in this case we're working with complex numbers that have imaginary components but we can still follow Pem does when trying to simplify an expression. So in order to follow penn does we want to deal with these parentheses first? Which means we have to distribute the negative on the outside of the parentheses to all the terms inside the parentheses. So the 27 I remains the same but then I distribute the negative to the six so I have minus six And the negative to the positive 13. I. So it becomes negative 13 I and the -19 remains the same. So from here you can see that we have a mix of real components like the negative six and negative 19 and imaginary components with the 27 I and the negative 13. I. So I'm going to combine the real components and the imaginary components. So negative 6 -19 is negative 25 and my imaginary components I -13 I. Is positive 14. I. So in this case I want to make sure that I expressed my answer in standard form which means the real components have to come first because Standard form is a plus B. I. Where the imaginary components come second and if I look at my expression negative 25 plus the imaginary components are indeed at the end. So this becomes my final answer for this subtraction, And you can see that answer choice C also has negative 25 plus I, so hopefully this video helped and see you next time.

Perform each operation. Write answers in standard form. 15i- (3+2i) -11

Key Concepts

Complex Numbers and Standard Form

Addition and Subtraction of Complex Numbers

Distributive Property and Simplification

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