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VictoriaRuffo
@VictoriaRuffo
October 2020
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Simplifique a expressão [tex] \frac{3 x^{2} +30x +75}{ x^{2} -25} [/tex] para x [tex] \neq [/tex] + - 5.
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eluciamonteiro
Verified answer
3x² + 30x + 75
x² - 25
3.(x² + 10x + 25)
x² - 25
3.(x + 5) . (x + 5)
elimina (x + 5)
(x - 5) . (x + 5) elimina( x + 5)
3.(x + 5)
(x - 5)
3(x + 5)
x - 5
21 votes
Thanks 45
VictoriaRuffo
resposta final?
VictoriaRuffo
acertou
eluciamonteiro
:)
poty
Verified answer
Resolvendo o numerador:
3x² + 30x+ 75= (:3)
x² + 10x + 25 =
(x + 5)²
Resolvendo o denominador:
x² - 25 = (x-5)(x+5)
Fica assim:
=
2 votes
Thanks 9
VictoriaRuffo
obg :)
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Verified answer
3x² + 30x + 75x² - 25
3.(x² + 10x + 25)
x² - 25
3.(x + 5) . (x + 5) elimina (x + 5)
(x - 5) . (x + 5) elimina( x + 5)
3.(x + 5)
(x - 5)
3(x + 5)
x - 5
Verified answer
Resolvendo o numerador:3x² + 30x+ 75= (:3)
x² + 10x + 25 =
(x + 5)²
Resolvendo o denominador:
x² - 25 = (x-5)(x+5)
Fica assim: