t4yl0rr t4yl0rr
  • 21-02-2021
  • Mathematics
contestada

Write (9−4i)2(9−4i) 2 in simplest a+bia+bi form.

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treyhunter2005
treyhunter2005 treyhunter2005
  • 21-02-2021

Step-by-step explanation:

(9−4i)2(9-4i)2

Rewrite (9−4i)2(9-4i)2 as (9−4i)(9−4i)(9-4i)(9-4i).

(9−4i)(9−4i)(9-4i)(9-4i)

Expand (9−4i)(9−4i)(9-4i)(9-4i) using the FOIL Method.

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9⋅9+9(−4i)−4i⋅9−4i(−4i)9⋅9+9(-4i)-4i⋅9-4i(-4i)

Simplify and combine like terms.

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Simplify each term.

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81−36i−36i−1681-36i-36i-16

Subtract 1616 from 8181.

65−36i−36i65-36i-36i

Subtract 36i36i from −36i-36i.

65−72i

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