Solve 3^{3}+3*5^2+2*3^2-4*(1^2*3-11^2+3)

$$3 ^ { 3 } + 3 \times 5 ^ { 2 } + 2 \times 3 ^ { 2 } - 4 \times ( 1 ^ { 2 } \times 3 - 11 ^ { 2 } + 3 )$$

Evaluate

$$580$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$27+3\times 5^{2}+2\times 3^{2}-4\left(1^{2}\times 3-11^{2}+3\right)$$

Calculate 5 to the power of 2 and get 25.

$$27+3\times 25+2\times 3^{2}-4\left(1^{2}\times 3-11^{2}+3\right)$$

Multiply 3 and 25 to get 75.

$$27+75+2\times 3^{2}-4\left(1^{2}\times 3-11^{2}+3\right)$$

Add 27 and 75 to get 102.

$$102+2\times 3^{2}-4\left(1^{2}\times 3-11^{2}+3\right)$$

Calculate 3 to the power of 2 and get 9.

$$102+2\times 9-4\left(1^{2}\times 3-11^{2}+3\right)$$

Multiply 2 and 9 to get 18.

$$102+18-4\left(1^{2}\times 3-11^{2}+3\right)$$

Add 102 and 18 to get 120.

$$120-4\left(1^{2}\times 3-11^{2}+3\right)$$

Calculate 1 to the power of 2 and get 1.

$$120-4\left(1\times 3-11^{2}+3\right)$$

Multiply 1 and 3 to get 3.

$$120-4\left(3-11^{2}+3\right)$$

Calculate 11 to the power of 2 and get 121.

$$120-4\left(3-121+3\right)$$

Subtract 121 from 3 to get -118.

$$120-4\left(-118+3\right)$$

Add -118 and 3 to get -115.

$$120-4\left(-115\right)$$

Multiply 4 and -115 to get -460.

$$120-\left(-460\right)$$

The opposite of -460 is 460.

$$120+460$$

Add 120 and 460 to get 580.

$$580$$

Factor

$$2^{2}\times 5\times 29$$