Solve (736+278)^2+(736-278)^2/736*736+278*278=?

$$\frac { ( 736 + 278 ) ^ { 2 } + ( 736 - 278 ) ^ { 2 } } { 736 \times 736 + 278 \times 278 } = ?$$

Evaluate

$$2$$

Solution Steps

Add 736 and 278 to get 1014.

$$\frac{1014^{2}+\left(736-278\right)^{2}}{736\times 736+278\times 278}$$

Calculate 1014 to the power of 2 and get 1028196.

$$\frac{1028196+\left(736-278\right)^{2}}{736\times 736+278\times 278}$$

Subtract 278 from 736 to get 458.

$$\frac{1028196+458^{2}}{736\times 736+278\times 278}$$

Calculate 458 to the power of 2 and get 209764.

$$\frac{1028196+209764}{736\times 736+278\times 278}$$

Add 1028196 and 209764 to get 1237960.

$$\frac{1237960}{736\times 736+278\times 278}$$

Do the multiplications.

$$\frac{1237960}{541696+77284}$$

Add 541696 and 77284 to get 618980.

$$\frac{1237960}{618980}$$

Divide 1237960 by 618980 to get 2.

$$2$$

Factor

$$2$$