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Popular >

simplify-i(5-2i)^2

Solution

simplify

- i (5 - 2 i)^{2}

Solution

- 20 - 21 i

Solution steps

- i (5 - 2 i)^{2}

Expand

(5 - 2 i)^{2} : - 20 i + 21

= - i (- 20 i + 21)

Apply the distributive law:

a (b + c) = ab + a c

- i (- 20 i + 21) = - i (- 20 i) - i 21

= - i (- 20 i) - i 21

- i (- 20 i) = - 20

- i 21 = - 21 i

= - 20 - 21 i

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Frequently Asked Questions (FAQ)

What is simplify-i(5-2i)^2 ?
The solution to simplify-i(5-2i)^2 is -20-21i