Evaluate (28^2-2^28)/(2*8)

$\frac{2 \cdot 8^{2} - 2^{2} \cdot 8}{2 \cdot 8}$

Step 1

Cancel the common factor of $2 \cdot 8^{2} - 2^{2} \cdot 8$ and $2$ .

Factor $2$ out of $2 \cdot 8^{2}$ .

$\frac{2 (8^{2}) - 2^{2} \cdot 8}{2 \cdot 8}$

Factor $2$ out of $- 2^{2} \cdot 8$ .

$\frac{2 (8^{2}) + 2 (- 1 \cdot 2 \cdot 8)}{2 \cdot 8}$

Factor $2$ out of $2 (8^{2}) + 2 (- 1 \cdot 2 \cdot 8)$ .

$\frac{2 (8^{2} - 1 \cdot 2 \cdot 8)}{2 \cdot 8}$

Cancel the common factors.

Factor $2$ out of $2 \cdot 8$ .

$\frac{2 (8^{2} - 1 \cdot 2 \cdot 8)}{2 (8)}$

Cancel the common factor.

$\frac{2 (8^{2} - 1 \cdot 2 \cdot 8)}{2 \cdot 8}$

Rewrite the expression.

$\frac{8^{2} - 1 \cdot 2 \cdot 8}{8}$

Step 2

Cancel the common factor of $8^{2} - 1 \cdot 2 \cdot 8$ and $8$ .

Factor $8$ out of $8^{2}$ .

$\frac{8 \cdot 8 - 1 \cdot 2 \cdot 8}{8}$

Factor $8$ out of $- 1 \cdot 2 \cdot 8$ .

$\frac{8 \cdot 8 + 8 \cdot (- 1 \cdot 2)}{8}$

Factor $8$ out of $8 \cdot 8 + 8 \cdot (- 1 \cdot 2)$ .

$\frac{8 \cdot (8 - 1 \cdot 2)}{8}$

Cancel the common factors.

Factor $8$ out of $8$ .

$\frac{8 \cdot (8 - 1 \cdot 2)}{8 (1)}$

Cancel the common factor.

$\frac{8 \cdot (8 - 1 \cdot 2)}{8 \cdot 1}$

Rewrite the expression.

$\frac{8 - 1 \cdot 2}{1}$

Divide $8 - 1 \cdot 2$ by $1$ .

$8 - 1 \cdot 2$

Step 3

Simplify the expression.

Multiply $- 1$ by $2$ .

$8 - 2$

Subtract $2$ from $8$ .

$6$

Evaluate (2*8^2-2^2*8)/(2*8)