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Guilherme041102
@Guilherme041102
December 2019
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"Utilize produtos notáveis pra simplificar as expressões a seguir"
(1 - 2√3)^3 = ?
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PauloBarros
Verified answer
= (1 - 2√3)³
= (1 - 2√3)² . ( 1 - 2√3)
= [1 - 2.1.2√3 + (2√3)²] . (1 - 2√3)
= [ 1 - 4√3 + 4.3] . ( 1 - 2√3)
= [1 - 4√3 + 12] . (1 - 2√3)
= [ 13 - 4√3].(1 - 2√3)
= 13.1 - 13.2√3 - 4√3.1 - 4√3.(- 2√3)
= 13 - 26√3 - 4√3 + 8.3
= 13 - 30√3 + 24
= 37 - 30√3
Resp.: 37 - 30√3
1 votes
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BetShammah
Verified answer
(1 - 2√3)³
(1 - 2√3).(1 - 2√3).(1 - 2√3)
(1 - 2√3 - 2√3 + 4.3).(1 - 2√3)
(1 - 4√3 + 12).(1 - 2√3)
(13 - 4√3).(1 - 2√3)
13 - 26√3 - 4√3 + 8.3
13 - 30√3 + 24
37 - 30√3
Resposta: 37 - 30√3
0 votes
Thanks 2
PauloBarros
blz
BetShammah
^-^
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Lista de comentários
Verified answer
= (1 - 2√3)³= (1 - 2√3)² . ( 1 - 2√3)
= [1 - 2.1.2√3 + (2√3)²] . (1 - 2√3)
= [ 1 - 4√3 + 4.3] . ( 1 - 2√3)
= [1 - 4√3 + 12] . (1 - 2√3)
= [ 13 - 4√3].(1 - 2√3)
= 13.1 - 13.2√3 - 4√3.1 - 4√3.(- 2√3)
= 13 - 26√3 - 4√3 + 8.3
= 13 - 30√3 + 24
= 37 - 30√3
Resp.: 37 - 30√3
Verified answer
(1 - 2√3)³(1 - 2√3).(1 - 2√3).(1 - 2√3)
(1 - 2√3 - 2√3 + 4.3).(1 - 2√3)
(1 - 4√3 + 12).(1 - 2√3)
(13 - 4√3).(1 - 2√3)
13 - 26√3 - 4√3 + 8.3
13 - 30√3 + 24
37 - 30√3
Resposta: 37 - 30√3