Solve (2013^3-2013*2016+2016^2)+(2014^2-3*2014*2015+2015^2)

$$( 2013 ^ { 3 } - 2013 \cdot 2016 + 2016 ^ { 2 } ) + ( 2014 ^ { 2 } - 3 \cdot 2014 \cdot 2015 + 2015 ^ { 2 } )$$

Evaluate

$$8152964036$$

Solution Steps

Calculate 2013 to the power of 3 and get 8157016197.

$$8157016197-2013\times 2016+2016^{2}+2014^{2}-3\times 2014\times 2015+2015^{2}$$

Multiply 2013 and 2016 to get 4058208.

$$8157016197-4058208+2016^{2}+2014^{2}-3\times 2014\times 2015+2015^{2}$$

Subtract 4058208 from 8157016197 to get 8152957989.

$$8152957989+2016^{2}+2014^{2}-3\times 2014\times 2015+2015^{2}$$

Calculate 2016 to the power of 2 and get 4064256.

$$8152957989+4064256+2014^{2}-3\times 2014\times 2015+2015^{2}$$

Add 8152957989 and 4064256 to get 8157022245.

$$8157022245+2014^{2}-3\times 2014\times 2015+2015^{2}$$

Calculate 2014 to the power of 2 and get 4056196.

$$8157022245+4056196-3\times 2014\times 2015+2015^{2}$$

Multiply 3 and 2014 to get 6042.

$$8157022245+4056196-6042\times 2015+2015^{2}$$

Multiply 6042 and 2015 to get 12174630.

$$8157022245+4056196-12174630+2015^{2}$$

Subtract 12174630 from 4056196 to get -8118434.

$$8157022245-8118434+2015^{2}$$

Subtract 8118434 from 8157022245 to get 8148903811.

$$8148903811+2015^{2}$$

Calculate 2015 to the power of 2 and get 4060225.

$$8148903811+4060225$$

Add 8148903811 and 4060225 to get 8152964036.

$$8152964036$$

Factor

$$2^{2}\times 7\times 17011\times 17117$$