Simplify (10 + 3i)(5 − 2i).
2 answers:
Answer: The correct option is
(C) 56-5i.
Step-by-step explanation: We are given to simplify the following product of complex numbers :
To simplify the given product, we must multiply each term of the first factor each term of the second factor and will be using the following vale of i :
From (i), we get
Thus, the required simplified form is 56-5i.
Option (C) is CORRECT.
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The complete proof for the given parallelogram is given in the image attached below.
<h3>What is a Parallelogram?</h3>A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.
The complete proof would be as shown below:
1. ABCD is a parallelogram [given]
2. AB║CD [Definition of parallelogram]
3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]
4. AB ≅ CD [Definition of parallelogram]
5. ΔABE ≅ ΔCDE [ASA]
6. AE ≅ CE, BE ≅ DE [CPCTC]
7. AC and BD bisects each other at E [definition of segment bisector]
Learn more about parallelogram on:
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