Solve 7^2+3^2-8^2/2*7*3

$$\frac { 7 ^ { 2 } + 3 ^ { 2 } - 8 ^ { 2 } } { 2 \times 7 \times 3 }$$

Evaluate

$$-\frac{1}{7}\approx -0.142857143$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\frac{49+3^{2}-8^{2}}{2\times 7\times 3}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{49+9-8^{2}}{2\times 7\times 3}$$

Add 49 and 9 to get 58.

$$\frac{58-8^{2}}{2\times 7\times 3}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{58-64}{2\times 7\times 3}$$

Subtract 64 from 58 to get -6.

$$\frac{-6}{2\times 7\times 3}$$

Multiply 2 and 7 to get 14.

$$\frac{-6}{14\times 3}$$

Multiply 14 and 3 to get 42.

$$\frac{-6}{42}$$

Reduce the fraction \frac{-6}{42} to lowest terms by extracting and canceling out 6.

$$-\frac{1}{7}$$

Factor

$$-\frac{1}{7} = -0.14285714285714285$$