Pre-Algebra Examples

$2 {(8 - 10)}^{2} - 5 {(1 - 6)}^{2}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Subtract $10$ from $8$ .

$2 {(- 2)}^{2} - 5 {(1 - 6)}^{2}$

Step 1.2

Raise $- 2$ to the power of $2$ .

$2 \cdot 4 - 5 {(1 - 6)}^{2}$

Step 1.3

Multiply $2$ by $4$ .

$8 - 5 {(1 - 6)}^{2}$

Step 1.4

Subtract $6$ from $1$ .

$8 - 5 {(- 5)}^{2}$

Step 1.5

Multiply $- 5$ by ${(- 5)}^{2}$ by adding the exponents.

Tap for more steps...

Step 1.5.1

Multiply $- 5$ by ${(- 5)}^{2}$ .

Tap for more steps...

Step 1.5.1.1

Raise $- 5$ to the power of $1$ .

$8 + {(- 5)}^{1} {(- 5)}^{2}$

Step 1.5.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$8 + {(- 5)}^{1 + 2}$

Step 1.5.2

Add $1$ and $2$ .

$8 + {(- 5)}^{3}$

Step 1.6

Raise $- 5$ to the power of $3$ .

$8 - 125$

Step 2

Subtract $125$ from $8$ .

$- 117$