Solve (569+163)^2-(569-163)^2/569*163=?

$$\frac { ( 569 + 163 ) ^ { 2 } - ( 569 - 163 ) ^ { 2 } } { 569 \times 163 } = ?$$

Evaluate

$$4$$

Solution Steps

Add 569 and 163 to get 732.

$$\frac{732^{2}-\left(569-163\right)^{2}}{569\times 163}$$

Calculate 732 to the power of 2 and get 535824.

$$\frac{535824-\left(569-163\right)^{2}}{569\times 163}$$

Subtract 163 from 569 to get 406.

$$\frac{535824-406^{2}}{569\times 163}$$

Calculate 406 to the power of 2 and get 164836.

$$\frac{535824-164836}{569\times 163}$$

Subtract 164836 from 535824 to get 370988.

$$\frac{370988}{569\times 163}$$

Multiply 569 and 163 to get 92747.

$$\frac{370988}{92747}$$

Divide 370988 by 92747 to get 4.

$$4$$

Factor

$$2^{2}$$