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

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

Evaluate

$$2014$$

Solution Steps

Calculate 2015 to the power of 3 and get 8181353375.

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

Calculate 1 to the power of 3 and get 1.

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

Subtract 1 from 8181353375 to get 8181353374.

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

Calculate 1 to the power of 2 and get 1.

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

Add 1 and 2015 to get 2016.

$$\frac{8181353374}{2016+2015^{2}}$$

Calculate 2015 to the power of 2 and get 4060225.

$$\frac{8181353374}{2016+4060225}$$

Add 2016 and 4060225 to get 4062241.

$$\frac{8181353374}{4062241}$$

Divide 8181353374 by 4062241 to get 2014.

$$2014$$

Factor

$$2\times 19\times 53$$