Solve 3^2+7^2-5^2/2*21

$$\frac { 3 ^ { 2 } + 7 ^ { 2 } - 5 ^ { 2 } } { 2 \times 21 }$$

Evaluate

$$\frac{11}{14}\approx 0.785714286$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{9+7^{2}-5^{2}}{2\times 21}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{9+49-5^{2}}{2\times 21}$$

Add 9 and 49 to get 58.

$$\frac{58-5^{2}}{2\times 21}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{58-25}{2\times 21}$$

Subtract 25 from 58 to get 33.

$$\frac{33}{2\times 21}$$

Multiply 2 and 21 to get 42.

$$\frac{33}{42}$$

Reduce the fraction \frac{33}{42} to lowest terms by extracting and canceling out 3.

$$\frac{11}{14}$$

Factor

$$\frac{11}{2 \cdot 7} = 0.7857142857142857$$