Solve (589+187)^2-(589-187)^2/589*187=?

$$\frac { ( 589 + 187 ) ^ { 2 } - ( 589 - 187 ) ^ { 2 } } { 589 \times 187 } = ?$$

Evaluate

$$4$$

Solution Steps

Add 589 and 187 to get 776.

$$\frac{776^{2}-\left(589-187\right)^{2}}{589\times 187}$$

Calculate 776 to the power of 2 and get 602176.

$$\frac{602176-\left(589-187\right)^{2}}{589\times 187}$$

Subtract 187 from 589 to get 402.

$$\frac{602176-402^{2}}{589\times 187}$$

Calculate 402 to the power of 2 and get 161604.

$$\frac{602176-161604}{589\times 187}$$

Subtract 161604 from 602176 to get 440572.

$$\frac{440572}{589\times 187}$$

Multiply 589 and 187 to get 110143.

$$\frac{440572}{110143}$$

Divide 440572 by 110143 to get 4.

$$4$$

Factor

$$2^{2}$$