Resolver {left(-1/2-3right)}^2-(-1/2)(5*(-1/2)-6)

$${ \left(- \frac{ 1 }{ 2 } -3 \right) }^{ 2 } -(- \frac{ 1 }{ 2 } )(5 \times (- \frac{ 1 }{ 2 } )-6)$$

Calcular

$$8$$

Pasos da solución

Resta 3 de -\frac{1}{2} para obter -\frac{7}{2}.

$$\left(-\frac{7}{2}\right)^{2}-\left(-\frac{1}{2}\left(5\left(-\frac{1}{2}\right)-6\right)\right)$$

Calcula -\frac{7}{2} á potencia de 2 e obtén \frac{49}{4}.

$$\frac{49}{4}-\left(-\frac{1}{2}\left(5\left(-\frac{1}{2}\right)-6\right)\right)$$

Multiplica 5 e -\frac{1}{2} para obter -\frac{5}{2}.

$$\frac{49}{4}-\left(-\frac{1}{2}\left(-\frac{5}{2}-6\right)\right)$$

Resta 6 de -\frac{5}{2} para obter -\frac{17}{2}.

$$\frac{49}{4}-\left(-\frac{1}{2}\left(-\frac{17}{2}\right)\right)$$

Multiplica -\frac{1}{2} e -\frac{17}{2} para obter \frac{17}{4}.

$$\frac{49}{4}-\frac{17}{4}$$

Resta \frac{17}{4} de \frac{49}{4} para obter 8.

$$8$$

Factorizar

$$2^{3}$$