Solve (931+138)^2+(931-138)^2/(931*931+138*138)=?

$$\frac { ( 931 + 138 ) ^ { 2 } + ( 931 - 138 ) ^ { 2 } } { ( 931 \times 931 + 138 \times 138 ) } = ?$$

Evaluate

$$2$$

Solution Steps

Add 931 and 138 to get 1069.

$$\frac{1069^{2}+\left(931-138\right)^{2}}{931\times 931+138\times 138}$$

Calculate 1069 to the power of 2 and get 1142761.

$$\frac{1142761+\left(931-138\right)^{2}}{931\times 931+138\times 138}$$

Subtract 138 from 931 to get 793.

$$\frac{1142761+793^{2}}{931\times 931+138\times 138}$$

Calculate 793 to the power of 2 and get 628849.

$$\frac{1142761+628849}{931\times 931+138\times 138}$$

Add 1142761 and 628849 to get 1771610.

$$\frac{1771610}{931\times 931+138\times 138}$$

Do the multiplications.

$$\frac{1771610}{866761+19044}$$

Add 866761 and 19044 to get 885805.

$$\frac{1771610}{885805}$$

Divide 1771610 by 885805 to get 2.

$$2$$

Factor

$$2$$