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rusak2 [61]
3 years ago
11

Find the quotient of `(2i(4+5i)(4-5i))/(4+i)`, and express it in the simplest form.

Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Answer:

(328i + 82)  /  17

Step-by-step explanation:

`(2i(4+5i)(4-5i))/(4+i)

= (2i(16 - 25i^2)) / (4 + i)

= (2i( 16 + 25) )) / (4 + 1)        [Note:- i^2 = -1]

=  82i / (4 + i)

= 82i(4 - i) / (4 + i)(4 - 1)

= 328i  + 82 /   (16 - i^2)

= (328i + 82)  /  17

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