Solve 7^2+6^2-2*7*6*1/5

$$7 ^ { 2 } + 6 ^ { 2 } - 2 \times 7 \times 6 \times \frac { 1 } { 5 }$$

Evaluate

$$\frac{341}{5}=68.2$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$49+6^{2}-2\times 7\times 6\times \frac{1}{5}$$

Calculate 6 to the power of 2 and get 36.

$$49+36-2\times 7\times 6\times \frac{1}{5}$$

Add 49 and 36 to get 85.

$$85-2\times 7\times 6\times \frac{1}{5}$$

Multiply 2 and 7 to get 14.

$$85-14\times 6\times \frac{1}{5}$$

Multiply 14 and 6 to get 84.

$$85-84\times \frac{1}{5}$$

Multiply 84 and \frac{1}{5} to get \frac{84}{5}.

$$85-\frac{84}{5}$$

Convert 85 to fraction \frac{425}{5}.

$$\frac{425}{5}-\frac{84}{5}$$

Since \frac{425}{5} and \frac{84}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{425-84}{5}$$

Subtract 84 from 425 to get 341.

$$\frac{341}{5}$$

Factor

$$\frac{11 \cdot 31}{5} = 68\frac{1}{5} = 68.2$$