Solve 2011^2+2012^2+2013^2-2011*2012-2012*2013-2011*2013

$${ 2011 }^{ 2 } + { 2012 }^{ 2 } + { 2013 }^{ 2 } -2011 \times 2012-2012 \times 2013-2011 \times 2013$$

Evaluate

$$3$$

Solution Steps

Calculate 2011 to the power of 2 and get 4044121.

$$4044121+2012^{2}+2013^{2}-2011\times 2012-2012\times 2013-2011\times 2013$$

Calculate 2012 to the power of 2 and get 4048144.

$$4044121+4048144+2013^{2}-2011\times 2012-2012\times 2013-2011\times 2013$$

Add 4044121 and 4048144 to get 8092265.

$$8092265+2013^{2}-2011\times 2012-2012\times 2013-2011\times 2013$$

Calculate 2013 to the power of 2 and get 4052169.

$$8092265+4052169-2011\times 2012-2012\times 2013-2011\times 2013$$

Add 8092265 and 4052169 to get 12144434.

$$12144434-2011\times 2012-2012\times 2013-2011\times 2013$$

Multiply 2011 and 2012 to get 4046132.

$$12144434-4046132-2012\times 2013-2011\times 2013$$

Subtract 4046132 from 12144434 to get 8098302.

$$8098302-2012\times 2013-2011\times 2013$$

Multiply 2012 and 2013 to get 4050156.

$$8098302-4050156-2011\times 2013$$

Subtract 4050156 from 8098302 to get 4048146.

$$4048146-2011\times 2013$$

Multiply 2011 and 2013 to get 4048143.

$$4048146-4048143$$

Subtract 4048143 from 4048146 to get 3.

$$3$$

Factor

$$3$$