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NeX [460]
3 years ago
12

How can you rewrite the expression (8-5i)^2 in the form a+bi?

Mathematics
2 answers:
otez555 [7]3 years ago
8 0
(a-b)^2 = a^2-2ab+b^2

(8-5i)^2 = 8^2-2(8)(5i)+(5i)^2

= 64-80i+25i^2

i^2=-1

So

= 64-80i+25(-1)

=64-25-80i

= <em><u>39 - 80i</u></em>

which is your answer :)
Natalija [7]3 years ago
8 0
(8 - 5i)²
(8 - 5i)(8 - 5i)
64 - 40i - 40i + 25i²
64 - 80i + 25i²
64 - 80i + 25(-1)
64 - 25 - 80i
39 - 80i
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An amount of $180 is shared among three people in the ratio x: y: z.
sammy [17]

Answer:

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6 0
3 years ago
PLEASE HELP!! If f (x) = 4x^-2 + 1/4x^2 + 4, then f’(2) =
Elena-2011 [213]
<h3>Answer: D) 0</h3>

Work Shown:

f(x) = 4x^(-2) + (1/4)x^2 + 4

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f ' (x) = -8x^(-3) + (1/2)x

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4 0
3 years ago
a photographer is taking the 4th grade class picture. She stands on a ladder to get a better angle . From the top step of the la
Kruka [31]
Given:
a ladder with three steps.
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So, top step is 45°. Middle step is 30°. Bottom step is 15°. Ground is 0°

The photographer would shout on the bottom step at an angle of 15°.
4 0
3 years ago
What is the standard form of the number in the calculator’s display?
Valentin [98]
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Your final answer is b. 860,000,000,000.
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