What is 23i(45 +8i) to the power of five

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18-12-2015
Mathematics

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What is 23i(45 +8i) to the power of five

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Panoyin Panoyin · Answer 1 · 2015-12-18T01:49:25+01:00

23i(45 + 8i)⁵
23i(45 + 8i)(45 + 8i)(45 + 8i)(45 + 8i)(45 + 8i)
23i(45(45 + 8i) + 8i(45 + 8i))(45(45 + 8i) + 8i(45 + 8i))(45 + 8i)
23i(45(45) + 45(8i) + 8i(45) + 8i(8i))(45(45) + 45(8i) + 8i(45) + 8i(8i))(45 + 8i)
23i(2025 + 360i + 360i + 64i²)(2025 + 360i + 360i + 64i²)(45 + 8i)
23i(2025 + 720i + 64(-1))(2025 + 720i + 64(-1))(45 + 8i)
23i(2025(2025 + 720i - 64) + 720i(2025 + 720i - 64) - 64(2025 + 720i - 64))(45 + 8i)
23i(2025(2025) + 2025(720i) - 2025(64) + 720i(2025) + 720i(720i) - 720i(64) - 64(2025) - 64(720i) + 64(64))(45 + 8i)
23i(50625 + 1458000i - 129600 + 1458000i + 518400i² - 46080 - 129600 - 46080i - 4096)(45 + 8i)
23i(50625 - 129600 - 46080 - 129600 - 4096 - 51800 + 1458000i + 145800i - 46080i)(45 + 8i)
23i(-310551 + 1603800i)(45 + 8i)
23i(-310551(45 + 8i) + 1603800i(45 + 8i))
23i(-13974795 - 2484408i + 72171000i + 12830400i²)
23i(-13974795 - 12830400 - 2484408i + 72171000i)
23i(-26805195 - 69686592i)
23i(-26805195) - 23i(69686592i)
-616519485i - 1602791616