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