Solve left(1280+720right)^2-4*1280*720/1280^2-720^2

$$\frac{ { \left(1280+720 \right) }^{ 2 } -4 \times 1280 \times 720 }{ { 1280 }^{ 2 } - { 720 }^{ 2 } }$$

Evaluate

$$\frac{7}{25}=0.28$$

Solution Steps

Add 1280 and 720 to get 2000.

$$\frac{2000^{2}-4\times 1280\times 720}{1280^{2}-720^{2}}$$

Calculate 2000 to the power of 2 and get 4000000.

$$\frac{4000000-4\times 1280\times 720}{1280^{2}-720^{2}}$$

Multiply 4 and 1280 to get 5120.

$$\frac{4000000-5120\times 720}{1280^{2}-720^{2}}$$

Multiply 5120 and 720 to get 3686400.

$$\frac{4000000-3686400}{1280^{2}-720^{2}}$$

Subtract 3686400 from 4000000 to get 313600.

$$\frac{313600}{1280^{2}-720^{2}}$$

Calculate 1280 to the power of 2 and get 1638400.

$$\frac{313600}{1638400-720^{2}}$$

Calculate 720 to the power of 2 and get 518400.

$$\frac{313600}{1638400-518400}$$

Subtract 518400 from 1638400 to get 1120000.

$$\frac{313600}{1120000}$$

Reduce the fraction \frac{313600}{1120000} to lowest terms by extracting and canceling out 44800.

$$\frac{7}{25}$$

Factor

$$\frac{7}{5 ^ {2}} = 0.28$$