Resolver left(-1-2right)^2+{left(2-1/2right)}^2-{left(-1-1/2right)}^2

$${ \left(-1-2 \right) }^{ 2 } + { \left(2- \frac{ 1 }{ 2 } \right) }^{ 2 } - { \left(-1- \frac{ 1 }{ 2 } \right) }^{ 2 }$$

Calcular

$$9$$

Pasos da solución

Resta 2 de -1 para obter -3.

$$\left(-3\right)^{2}+\left(2-\frac{1}{2}\right)^{2}-\left(-1-\frac{1}{2}\right)^{2}$$

Calcula -3 á potencia de 2 e obtén 9.

$$9+\left(2-\frac{1}{2}\right)^{2}-\left(-1-\frac{1}{2}\right)^{2}$$

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

$$9+\left(\frac{3}{2}\right)^{2}-\left(-1-\frac{1}{2}\right)^{2}$$

Calcula \frac{3}{2} á potencia de 2 e obtén \frac{9}{4}.

$$9+\frac{9}{4}-\left(-1-\frac{1}{2}\right)^{2}$$

Suma 9 e \frac{9}{4} para obter \frac{45}{4}.

$$\frac{45}{4}-\left(-1-\frac{1}{2}\right)^{2}$$

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

$$\frac{45}{4}-\left(-\frac{3}{2}\right)^{2}$$

Calcula -\frac{3}{2} á potencia de 2 e obtén \frac{9}{4}.

$$\frac{45}{4}-\frac{9}{4}$$

Resta \frac{9}{4} de \frac{45}{4} para obter 9.

$$9$$

Factorizar

$$3^{2}$$