Solve (239-6*0.2+4.3*6.6)^2+(2.39-6*0.9-4.3*33.7)^2

$$( 239 - 6 \times 0.2 + 4.3 \times 6.6 ) ^ { 2 } + ( 2.39 - 6 \times 0.9 - 4.3 \times 33.7 ) ^ { 2 }$$

Evaluate

$$92732.1188$$

Solution Steps

Multiply 6 and 0.2 to get 1.2.

$$\left(239-1.2+4.3\times 6.6\right)^{2}+\left(2.39-6\times 0.9-4.3\times 33.7\right)^{2}$$

Subtract 1.2 from 239 to get 237.8.

$$\left(237.8+4.3\times 6.6\right)^{2}+\left(2.39-6\times 0.9-4.3\times 33.7\right)^{2}$$

Multiply 4.3 and 6.6 to get 28.38.

$$\left(237.8+28.38\right)^{2}+\left(2.39-6\times 0.9-4.3\times 33.7\right)^{2}$$

Add 237.8 and 28.38 to get 266.18.

$$266.18^{2}+\left(2.39-6\times 0.9-4.3\times 33.7\right)^{2}$$

Calculate 266.18 to the power of 2 and get 70851.7924.

$$70851.7924+\left(2.39-6\times 0.9-4.3\times 33.7\right)^{2}$$

Multiply 6 and 0.9 to get 5.4.

$$70851.7924+\left(2.39-5.4-4.3\times 33.7\right)^{2}$$

Subtract 5.4 from 2.39 to get -3.01.

$$70851.7924+\left(-3.01-4.3\times 33.7\right)^{2}$$

Multiply 4.3 and 33.7 to get 144.91.

$$70851.7924+\left(-3.01-144.91\right)^{2}$$

Subtract 144.91 from -3.01 to get -147.92.

$$70851.7924+\left(-147.92\right)^{2}$$

Calculate -147.92 to the power of 2 and get 21880.3264.

$$70851.7924+21880.3264$$

Add 70851.7924 and 21880.3264 to get 92732.1188.

$$92732.1188$$

Factor

$$\frac{231830297}{2 ^ {2} \cdot 5 ^ {4}} = 92732\frac{297}{2500} = 92732.1188$$