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Anuta_ua [19.1K]
1 year ago
8

Let a = 2i + 3, b= i – 1, and c= -3i + 2. Which expression is equivalent to a -b- c?A. –2i +4B. 4i + 2C. 4i + 4D. -2i + 2

Mathematics
1 answer:
34kurt1 year ago
3 0

Given:

\begin{gathered} a=2i+3 \\ b=i-1 \\ c=-3i+2 \end{gathered}

You know that:

a-b-c=(2i+3)-(i-1)-(-3i+2)

In order to solve the operation, you can follow these steps:

1. Distribute the negative signs. Remember the Sign Rules for Multiplication:

\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ +\cdot-=- \\ -\cdot+=- \end{gathered}

Then:

=2i+3-i+1+3i-2

2. Combine the like terms (add the Real Parts and add the Imaginary Parts):

=4i+2

Hence, the answer is: Option B.

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