Resolver left(88-90.875right)^2+left(94-90.875right)^2+left(93-90.875right)^2+left(90-90.875right)^2+{left(91-90.875right)}^2+{left(94-90.875right)}^2+{left(90-90.875right)}^2+{left(87-90.875right)}^2

$${ \left(88-90.875 \right) }^{ 2 } + { \left(94-90.875 \right) }^{ 2 } + { \left(93-90.875 \right) }^{ 2 } + { \left(90-90.875 \right) }^{ 2 } + { \left(91-90.875 \right) }^{ 2 } + { \left(94-90.875 \right) }^{ 2 } + { \left(90-90.875 \right) }^{ 2 } + { \left(87-90.875 \right) }^{ 2 }$$

Avaliar

$$48.875$$

Passos Para a Resolução

Subtraia 90.875 de 88 para obter -2.875.

$$\left(-2.875\right)^{2}+\left(94-90.875\right)^{2}+\left(93-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Calcule -2.875 elevado a 2 e obtenha 8.265625.

$$8.265625+\left(94-90.875\right)^{2}+\left(93-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Subtraia 90.875 de 94 para obter 3.125.

$$8.265625+3.125^{2}+\left(93-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Calcule 3.125 elevado a 2 e obtenha 9.765625.

$$8.265625+9.765625+\left(93-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Some 8.265625 e 9.765625 para obter 18.03125.

$$18.03125+\left(93-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Subtraia 90.875 de 93 para obter 2.125.

$$18.03125+2.125^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Calcule 2.125 elevado a 2 e obtenha 4.515625.

$$18.03125+4.515625+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Some 18.03125 e 4.515625 para obter 22.546875.

$$22.546875+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Subtraia 90.875 de 90 para obter -0.875.

$$22.546875+\left(-0.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Calcule -0.875 elevado a 2 e obtenha 0.765625.

$$22.546875+0.765625+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Some 22.546875 e 0.765625 para obter 23.3125.

$$23.3125+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Subtraia 90.875 de 91 para obter 0.125.

$$23.3125+0.125^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Calcule 0.125 elevado a 2 e obtenha 0.015625.

$$23.3125+0.015625+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Some 23.3125 e 0.015625 para obter 23.328125.

$$23.328125+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Subtraia 90.875 de 94 para obter 3.125.

$$23.328125+3.125^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Calcule 3.125 elevado a 2 e obtenha 9.765625.

$$23.328125+9.765625+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Some 23.328125 e 9.765625 para obter 33.09375.

$$33.09375+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Subtraia 90.875 de 90 para obter -0.875.

$$33.09375+\left(-0.875\right)^{2}+\left(87-90.875\right)^{2}$$

Calcule -0.875 elevado a 2 e obtenha 0.765625.

$$33.09375+0.765625+\left(87-90.875\right)^{2}$$

Some 33.09375 e 0.765625 para obter 33.859375.

$$33.859375+\left(87-90.875\right)^{2}$$

Subtraia 90.875 de 87 para obter -3.875.

$$33.859375+\left(-3.875\right)^{2}$$

Calcule -3.875 elevado a 2 e obtenha 15.015625.

$$33.859375+15.015625$$

Some 33.859375 e 15.015625 para obter 48.875.

$$48.875$$

Fatorizar

$$\frac{17 \cdot 23}{2 ^ {3}} = 48\frac{7}{8} = 48.875$$