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​Use the Binominal Theorem to Expand the Complex Number (4−6i)4( 4 - 6 i ) ^ { 4 }

Question 51

Multiple Choice

​Use the Binominal Theorem to expand the complex number.Simplify your result.​ (4−6i) 4( 4 - 6 i ) ^ { 4 } ​


A) ​ −256+1536i+3456+3456i3−1296- 256 + 1536 i + 3456 + 3456 i ^ { 3 } - 1296
B) ​ 256+1536i−3456+3456i3+1296256 + 1536 i - 3456 + 3456 i ^ { 3 } + 1296
C) ​ −256−1536i+3456−3456i3−1296- 256 - 1536 i + 3456 - 3456 i ^ { 3 } - 1296
D) ​ 256−1536i−3456−3456i3+1296256 - 1536 i - 3456 - 3456 i ^ { 3 } + 1296
E) ​ 1296−3456i−3456−1536i3+2561296 - 3456 i - 3456 - 1536 i ^ { 3 } + 256

Correct Answer:

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