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Катя191
@Катя191
July 2022
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Упростить выражение
((а+б)^3-(а-б)^3))/2b
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93931
((a+b)³-(a-b)³) / 2b = (a(a³+3a²b+3ab²+b³-(a³-3a²b+3ab²-b³))
/ 2b =
(a³+3a²b+3ab²+b³-a³+3a²b-3ab²+b³))
/ 2b = (6a
²b
+2b
³
) / 2b =
2b(3a
²+b²) / 2b =
3a²+b².
1 votes
Thanks 1
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Answers & Comments
(a³+3a²b+3ab²+b³-a³+3a²b-3ab²+b³)) / 2b = (6a²b+2b³) / 2b =
2b(3a²+b²) / 2b = 3a²+b².