Solve (26^2+75^2-49^2)div(2*26*75)

$$( { 26 }^{ 2 } + { 75 }^{ 2 } - { 49 }^{ 2 } ) \div (2 \times 26 \times 75)$$

Evaluate

$$1$$

Solution Steps

Calculate 26 to the power of 2 and get 676.

$$\frac{676+75^{2}-49^{2}}{2\times 26\times 75}$$

Calculate 75 to the power of 2 and get 5625.

$$\frac{676+5625-49^{2}}{2\times 26\times 75}$$

Add 676 and 5625 to get 6301.

$$\frac{6301-49^{2}}{2\times 26\times 75}$$

Calculate 49 to the power of 2 and get 2401.

$$\frac{6301-2401}{2\times 26\times 75}$$

Subtract 2401 from 6301 to get 3900.

$$\frac{3900}{2\times 26\times 75}$$

Multiply 2 and 26 to get 52.

$$\frac{3900}{52\times 75}$$

Multiply 52 and 75 to get 3900.

$$\frac{3900}{3900}$$

Divide 3900 by 3900 to get 1.

$$1$$

Factor

$$1$$