Solve 2015^3-1^3/1^2+2015+2010^2

$$\frac { 2015 ^ { 3 } - 1 ^ { 3 } } { 1 ^ { 2 } + 2015 + 2010 ^ { 2 } }$$

Evaluate

$$\frac{4090676687}{2021058}\approx 2024.027359433$$

Solution Steps

Calculate 2015 to the power of 3 and get 8181353375.

$$\frac{8181353375-1^{3}}{1^{2}+2015+2010^{2}}$$

Calculate 1 to the power of 3 and get 1.

$$\frac{8181353375-1}{1^{2}+2015+2010^{2}}$$

Subtract 1 from 8181353375 to get 8181353374.

$$\frac{8181353374}{1^{2}+2015+2010^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{8181353374}{1+2015+2010^{2}}$$

Add 1 and 2015 to get 2016.

$$\frac{8181353374}{2016+2010^{2}}$$

Calculate 2010 to the power of 2 and get 4040100.

$$\frac{8181353374}{2016+4040100}$$

Add 2016 and 4040100 to get 4042116.

$$\frac{8181353374}{4042116}$$

Reduce the fraction \frac{8181353374}{4042116} to lowest terms by extracting and canceling out 2.

$$\frac{4090676687}{2021058}$$

Factor

$$\frac{19 \cdot 53 \cdot 4062241}{2 \cdot 3 ^ {3} \cdot 13 \cdot 2879} = 2024\frac{55295}{2021058} = 2024.027359432535$$