Solve (893+786)^2-(893-786)^2/(893*786)=?

$$\frac { ( 893 + 786 ) ^ { 2 } - ( 893 - 786 ) ^ { 2 } } { ( 893 \times 786 ) } = ?$$

Evaluate

$$4$$

Solution Steps

Add 893 and 786 to get 1679.

$$\frac{1679^{2}-\left(893-786\right)^{2}}{893\times 786}$$

Calculate 1679 to the power of 2 and get 2819041.

$$\frac{2819041-\left(893-786\right)^{2}}{893\times 786}$$

Subtract 786 from 893 to get 107.

$$\frac{2819041-107^{2}}{893\times 786}$$

Calculate 107 to the power of 2 and get 11449.

$$\frac{2819041-11449}{893\times 786}$$

Subtract 11449 from 2819041 to get 2807592.

$$\frac{2807592}{893\times 786}$$

Multiply 893 and 786 to get 701898.

$$\frac{2807592}{701898}$$

Divide 2807592 by 701898 to get 4.

$$4$$

Factor

$$2^{2}$$