Solve y:(2-8)^2-|2-8|

$$y : ( 2 - 8 ) ^ { 2 } - | 2 - 8 |$$

Evaluate

$$\frac{y}{36}-6$$

Short Solution Steps

Subtract 8 from 2 to get -6.

$$\frac{y}{\left(-6\right)^{2}}-|2-8|$$

Calculate -6 to the power of 2 and get 36.

$$\frac{y}{36}-|2-8|$$

Subtract 8 from 2 to get -6.

$$\frac{y}{36}-|-6|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -6 is 6.

$$\frac{y}{36}-6$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{36}{36}.

$$\frac{y}{36}-\frac{6\times 36}{36}$$

Since \frac{y}{36} and \frac{6\times 36}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{y-6\times 36}{36}$$

Do the multiplications in y-6\times 36.

$$\frac{y-216}{36}$$

Factor

$$\frac{y-216}{36}$$