Algebra Examples

$- c^{2} z + c z + c$ when $c = - 1$

Step 1

Replace the variable $c$ with $- 1$ in the expression.

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

Step 2

Remove parentheses.

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

Step 3

Simplify each term.

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Step 3.1

Multiply $- 1$ by ${(- 1)}^{2}$ by adding the exponents.

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Step 3.1.1

Multiply $- 1$ by ${(- 1)}^{2}$ .

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Step 3.1.1.1

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

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

Step 3.1.1.2

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

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

Step 3.1.2

Add $1$ and $2$ .

${(- 1)}^{3} z + (- 1) \cdot z - 1$

Step 3.2

Raise $- 1$ to the power of $3$ .

$- 1 z + (- 1) \cdot z - 1$

Step 3.3

Rewrite $- 1 z$ as $- z$ .

$- z + (- 1) \cdot z - 1$

Step 3.4

Rewrite $- 1 z$ as $- z$ .

$- z - z - 1$

Step 4

Subtract $z$ from $- z$ .

$- 2 z - 1$