Solve 105*11-11^2-(11)^3/3+2*11^2

$$105 \times 11 - 11 ^ { 2 } - \frac { ( 11 ) ^ { 3 } } { 3 } + 2 \times 11 ^ { 2 }$$

Evaluate

$$\frac{2497}{3}\approx 832.333333333$$

Solution Steps

Multiply 105 and 11 to get 1155.

$$1155-11^{2}-\frac{11^{3}}{3}+2\times 11^{2}$$

Calculate 11 to the power of 2 and get 121.

$$1155-121-\frac{11^{3}}{3}+2\times 11^{2}$$

Subtract 121 from 1155 to get 1034.

$$1034-\frac{11^{3}}{3}+2\times 11^{2}$$

Calculate 11 to the power of 3 and get 1331.

$$1034-\frac{1331}{3}+2\times 11^{2}$$

Convert 1034 to fraction \frac{3102}{3}.

$$\frac{3102}{3}-\frac{1331}{3}+2\times 11^{2}$$

Since \frac{3102}{3} and \frac{1331}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3102-1331}{3}+2\times 11^{2}$$

Subtract 1331 from 3102 to get 1771.

$$\frac{1771}{3}+2\times 11^{2}$$

Calculate 11 to the power of 2 and get 121.

$$\frac{1771}{3}+2\times 121$$

Multiply 2 and 121 to get 242.

$$\frac{1771}{3}+242$$

Convert 242 to fraction \frac{726}{3}.

$$\frac{1771}{3}+\frac{726}{3}$$

Since \frac{1771}{3} and \frac{726}{3} have the same denominator, add them by adding their numerators.

$$\frac{1771+726}{3}$$

Add 1771 and 726 to get 2497.

$$\frac{2497}{3}$$

Factor

$$\frac{11 \cdot 227}{3} = 832\frac{1}{3} = 832.3333333333334$$