Solve (823+698)^2-(823-698)^2/823*698

$$\frac { ( 823 + 698 ) ^ { 2 } - ( 823 - 698 ) ^ { 2 } } { 823 \times 698 }$$

Evaluate

$$4$$

Solution Steps

Add 823 and 698 to get 1521.

$$\frac{1521^{2}-\left(823-698\right)^{2}}{823\times 698}$$

Calculate 1521 to the power of 2 and get 2313441.

$$\frac{2313441-\left(823-698\right)^{2}}{823\times 698}$$

Subtract 698 from 823 to get 125.

$$\frac{2313441-125^{2}}{823\times 698}$$

Calculate 125 to the power of 2 and get 15625.

$$\frac{2313441-15625}{823\times 698}$$

Subtract 15625 from 2313441 to get 2297816.

$$\frac{2297816}{823\times 698}$$

Multiply 823 and 698 to get 574454.

$$\frac{2297816}{574454}$$

Divide 2297816 by 574454 to get 4.

$$4$$

Factor

$$2^{2}$$