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

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

Avaliar

$$8152964036$$

Passos Para a Resolução

Calcule 2013 elevado a 3 e obtenha 8157016197.

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

Multiplique 2013 e 2016 para obter 4058208.

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

Subtraia 4058208 de 8157016197 para obter 8152957989.

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

Calcule 2016 elevado a 2 e obtenha 4064256.

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

Some 8152957989 e 4064256 para obter 8157022245.

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

Calcule 2014 elevado a 2 e obtenha 4056196.

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

Multiplique 3 e 2014 para obter 6042.

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

Multiplique 6042 e 2015 para obter 12174630.

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

Subtraia 12174630 de 4056196 para obter -8118434.

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

Subtraia 8118434 de 8157022245 para obter 8148903811.

$$8148903811+2015^{2}$$

Calcule 2015 elevado a 2 e obtenha 4060225.

$$8148903811+4060225$$

Some 8148903811 e 4060225 para obter 8152964036.

$$8152964036$$

Fatorizar

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