Algebra Examples

$- b^{2} - 2 b {(- 2)}^{2} - (- 2)$

Step 1

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

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Step 1.1

Move ${(- 2)}^{2}$ .

$- b^{2} + {(- 2)}^{2} \cdot - 2 b - (- 2)$

Step 1.2

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

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Step 1.2.1

Raise $- 2$ to the power of $1$ .

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

Step 1.2.2

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

$- b^{2} + {(- 2)}^{2 + 1} b - (- 2)$

Step 1.3

Add $2$ and $1$ .

$- b^{2} + {(- 2)}^{3} b - (- 2)$

Step 2

Raise $- 2$ to the power of $3$ .

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

Step 3

Multiply $- 1$ by $- 2$ .

$- b^{2} - 8 b + 2$