tayjane16
tayjane16
10-11-2015
Mathematics
contestada
The fifth term of (a - 3b)5
Respuesta :
Panoyin
Panoyin
11-11-2015
(a - 3b)⁵
(a - 3b)(a - 3b)(a - 3b)(a - 3b)(a - 3b)
(a(a - 3b) - 3b(a - 3b))(a(a - 3b) - 3b(a - 3b))(a - 3b)
(a(a) - a(3b) - 3b(a) + 3b(3b))(a(a) - a(3b) - 3b(a) + 3b(3b))(a - 3b)
(a² - 3ab - 3ab + 9b²)(a² - 3ab - 3ab + 9b²)(a - 3b)
(a² - 6ab + 9b²)(a² - 6ab + 9b²)(a - 3b)
(a²(a² - 6ab + 9b²) - 6ab(a² - 6ab + 9b²) + 9b²(a² - 6ab + 9b²))(a - 3b)
(a²(a²) - a²(6ab) + a²(9b²) - 6ab(a²) + 6ab(6ab) - 6ab(9b²) + 9b²(a²) - 9b²(6ab) + 9b²(9b²))(a - 3b)
(a⁴ - 6a³b - 9a²b² - 6a³b + 36a²b² - 54ab³ + 9a²b² + 54ab³ + 81b⁴)(a - 3b)
(a⁴ - 6a³b - 6a³b - 9a²b² + 9a²b² + 36a²b² - 54ab³ + 54ab³ + 81b⁴)(a - 3b)
(a⁴ - 12a³b + 36a²b² + 81b⁴)(a - 3b)
a⁴(a - 3b) - 12a³b(a - 3b) + 36a²b²(a - 3b) + 81b⁴(a - 3b)
a⁴(a) - a⁴(3b) - 12a³b(a) + 12a³b(3b) + 36a²b²(a) - 36a²b²(3b) + 81b⁴(a) - 81b⁴(b)
a⁵ - 3a⁴b - 12a⁴b + 36a³b² + 36a³b² - 108a²b³ + 81ab⁴ - 81b⁵
a⁵ - 15a⁴b + 72a³b² - 108a²b³ + 81ab⁴ - 81b⁵
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