Resolver 36.36*(3.78-0.9)^2+40.91*(0.26-0.9)^2+22.73*(2.57+0.9)^2

$$36.36 \times ( 3.78 - 0.9 ) ^ { 2 } + 40.91 \times ( 0.26 - 0.9 ) ^ { 2 } + 22.73 \times ( 2.57 + 0.9 ) ^ { 2 }$$

Calcular

$$592.030777$$

Pasos da solución

Resta 0.9 de 3.78 para obter 2.88.

$$36.36\times 2.88^{2}+40.91\left(0.26-0.9\right)^{2}+22.73\left(2.57+0.9\right)^{2}$$

Calcula 2.88 á potencia de 2 e obtén 8.2944.

$$36.36\times 8.2944+40.91\left(0.26-0.9\right)^{2}+22.73\left(2.57+0.9\right)^{2}$$

Multiplica 36.36 e 8.2944 para obter 301.584384.

$$301.584384+40.91\left(0.26-0.9\right)^{2}+22.73\left(2.57+0.9\right)^{2}$$

Resta 0.9 de 0.26 para obter -0.64.

$$301.584384+40.91\left(-0.64\right)^{2}+22.73\left(2.57+0.9\right)^{2}$$

Calcula -0.64 á potencia de 2 e obtén 0.4096.

$$301.584384+40.91\times 0.4096+22.73\left(2.57+0.9\right)^{2}$$

Multiplica 40.91 e 0.4096 para obter 16.756736.

$$301.584384+16.756736+22.73\left(2.57+0.9\right)^{2}$$

Suma 301.584384 e 16.756736 para obter 318.34112.

$$318.34112+22.73\left(2.57+0.9\right)^{2}$$

Suma 2.57 e 0.9 para obter 3.47.

$$318.34112+22.73\times 3.47^{2}$$

Calcula 3.47 á potencia de 2 e obtén 12.0409.

$$318.34112+22.73\times 12.0409$$

Multiplica 22.73 e 12.0409 para obter 273.689657.

$$318.34112+273.689657$$

Suma 318.34112 e 273.689657 para obter 592.030777.

$$592.030777$$

Factorizar

$$\frac{13 \cdot 47389 \cdot 31 ^ {2}}{2 ^ {6} \cdot 5 ^ {6}} = 592\frac{30777}{1000000} = 592.030777$$