Solve left(4378+0.914right)^2-left(4.378-0.914right)^2

$${ \left(4378+0.914 \right) }^{ 2 } - { \left(4.378-0.914 \right) }^{ 2 }$$

Evaluate

$$19174875.8201$$

Solution Steps

Add 4378 and 0.914 to get 4378.914.

$$4378.914^{2}-\left(4.378-0.914\right)^{2}$$

Calculate 4378.914 to the power of 2 and get 19174887.819396.

$$19174887.819396-\left(4.378-0.914\right)^{2}$$

Subtract 0.914 from 4.378 to get 3.464.

$$19174887.819396-3.464^{2}$$

Calculate 3.464 to the power of 2 and get 11.999296.

$$19174887.819396-11.999296$$

Subtract 11.999296 from 19174887.819396 to get 19174875.8201.

$$19174875.8201$$

Factor

$$\frac{7 \cdot 13 \cdot 199 \cdot 87509 \cdot 11 ^ {2}}{2 ^ {4} \cdot 5 ^ {4}} = 19174875\frac{8201}{10000} = 19174875.8201$$