Solve 2012^2+2013^2-2*20|2*20|3

$$2012 ^ { 2 } + 2013 ^ { 2 } - 2 \times 20 | 2 \times 20 | 3$$

Evaluate

$$8095513$$

Solution Steps

Calculate 2012 to the power of 2 and get 4048144.

$$4048144+2013^{2}-2\times 20|2\times 20|\times 3$$

Calculate 2013 to the power of 2 and get 4052169.

$$4048144+4052169-2\times 20|2\times 20|\times 3$$

Add 4048144 and 4052169 to get 8100313.

$$8100313-2\times 20|2\times 20|\times 3$$

Multiply 2 and 20 to get 40.

$$8100313-40|2\times 20|\times 3$$

Multiply 2 and 20 to get 40.

$$8100313-40|40|\times 3$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 40 is 40.

$$8100313-40\times 40\times 3$$

Multiply 40 and 40 to get 1600.

$$8100313-1600\times 3$$

Multiply 1600 and 3 to get 4800.

$$8100313-4800$$

Subtract 4800 from 8100313 to get 8095513.

$$8095513$$

Factor

$$107\times 75659$$