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Novay_Z [31]
2 years ago
13

Simplify (10 + 3i)(5 − 2i).

Mathematics
2 answers:
Romashka [77]2 years ago
6 0
The answer I think is D but use the app photo math very useful:)
kirza4 [7]2 years ago
6 0

Answer:  The correct option is

(C) 56-5i.

Step-by-step explanation:  We are given to simplify the following product of complex numbers :

P=(10+3i)(5-2i)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

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 :

i=\sqrt{-1}~~~~\Rightarrow i^2=-1.

From (i), we get

P\\\\=(10+3i)(5-2i)\\\\=10(5-2i)+3i(5-2i)\\\\=50-20i+15i-6i^2\\\\=50-5i-6(-1)\\\\=50-5i+6\\\\=56-5i.

Thus, the required simplified form is 56-5i.

Option (C) is CORRECT.

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