darkfyre97 darkfyre97

22-10-2018
Mathematics

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

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Аноним Аноним

22-10-2018

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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