Matemática, perguntado por samthiagosamtos6, 3 meses atrás

simplifique a expressão x(2×-1)+(1-3x) e marque a alternativa correta a) x3 b)-x3 c)5 d)-x2

Soluções para a tarefa

Respondido por QueenEvan
3

Hey cherry, ao simplificarmos iremos obter: \boxed{\begin{array}{lr}\mathbf{2x {}^{2} - 4x + 1 }\end{array}}.

Vamos lá, baby angel...

\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{x(2x - 1) + (1 - 3x)}}\end{array}}}}}\end{gathered}

Multiplique os termos do parênteses por x.

\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{x \times 2x - x}}\end{array}}}}}\end{gathered}

Multiplique...

\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x {}^{2} - x }}\end{array}}}}}\end{gathered}

Obtendo:

\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x {}^{2} - x + (1 - 3x) }}\end{array}}}}}\end{gathered}

Já que temos um sinal positivo em frente aos parênteses, a expressão continua a mesma...

\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x {}^{2}  - x + 1 - 3x}}\end{array}}}}}\end{gathered}

Já que o termo negativo não tem seu coeficiente representado, será como - 1.

\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{ - 1x - 3x}}\end{array}}}}}\end{gathered}

Coloque os termos similares em evidência, e some seus coeficientes.

\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{( - 1 - 3)x}}\end{array}}}}}\end{gathered}

Some...

\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{ - 4x}}\end{array}}}}}\end{gathered}

Obtendo:

\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x {}^{2} - 4x + 1 }}\end{array}}}}}\end{gathered}

Cálculo completo:

{\Huge{\red{\boxed{\begin{array}{lr}\mathbf{x \times (2x - 1) + (1 - 3x)} \\ \mathbf{2x {}^{2} - x + (1 - 3x) } \\  \mathbf{2x {}^{2} - x + 1 - 3x } \\ \mathbf{2x {}^{2}  - 4x + 1}\end{array}}}}}

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{\red{\boxed{\begin{array}{lr}\mathbf{BY:LOHANY \: EVAN}\end{array}}}}

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