Question

6) 3) Simplifique o polinômio cubo perfeito, x³ - 6x² + 12x - 8: *

(X - 4)³
(X + 4)³
(X - 2)³
(X + 2)³

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{x^3 - 6x^2 + 12x - 8}$

$\mathsf{(x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3}$

$\mathsf{x^3 - 3x^2.2 + 3x.2^2 - 2^3}$

$\boxed{\boxed{\mathsf{(x - 2)^3}}}\leftarrow\textsf{letra C}$

Answer 2

Resposta:

$\:\:\:\:\:\: \pink h\pink o\pink o\blue i\blue l\blue \: \green v\green a\green m\green o\green s\green \: \orange l\orange á\orange .\green .\green .\green \:$

Explicação passo-a-passo:

$\rm \: podemos \: resolver \: essa \: \\ \rm \: questão \: aplicando \: a \: regra \: \\ \rm \: do \: cubo \: da \: diferença \: \\ \\ \rm \: {x}^{3} - {3x}^{2} y + {3xy}^{2} - {y}^{2} - \\ \rm \: {y}^{3} = (x - y) \\ \rm \: sendo :$

$\rm \: {x}^{3} - 6 {x}^{2} +12x - \\ \rm \: 8 = (x - 2)^{2}$

$\rm \: na \: qual \: vamos \: diretamente \\ \rm \: a \: resposta \: correta \: que \: e \\ \rm \: a \: alternativa \: C$

$\\ \\ \\ \\ \:\:\:\:\:\:\: \green e\green s\green p\green e\green r\green o\green \: \pink t\pink e\pink r\pink \: \orange a\orange j\orange u\orange d\orange a\orange d\orange o\orange \: \purple . \\ \\ \\ \:\:\: \blue b\blue o\blue n\blue s\blue \: \red e\red s\red t\red u\red d\red o\red s\red \: \green .$$\\ \\ \\ \:\:\:\: \green a\blue s\pink s\orange : \blue m\blue \alpha\blue r\blue c\blue o\: \red d\red i\red \alpha\red z\:\pink t\pink r\pink \gamma\orange s\orange t\orange \gamma\: \blue .$