Solve (433+322)^2-(433-322)^2/(433*322)

$$\frac { ( 433 + 322 ) ^ { 2 } - ( 433 - 322 ) ^ { 2 } } { ( 433 \times 322 ) }$$

Evaluate

$$4$$

Solution Steps

Add 433 and 322 to get 755.

$$\frac{755^{2}-\left(433-322\right)^{2}}{433\times 322}$$

Calculate 755 to the power of 2 and get 570025.

$$\frac{570025-\left(433-322\right)^{2}}{433\times 322}$$

Subtract 322 from 433 to get 111.

$$\frac{570025-111^{2}}{433\times 322}$$

Calculate 111 to the power of 2 and get 12321.

$$\frac{570025-12321}{433\times 322}$$

Subtract 12321 from 570025 to get 557704.

$$\frac{557704}{433\times 322}$$

Multiply 433 and 322 to get 139426.

$$\frac{557704}{139426}$$

Divide 557704 by 139426 to get 4.

$$4$$

Factor

$$2^{2}$$