Algebra Examples

$- 7 {(- 1)}^{3} + 5 {(- 1)}^{2} + (- 1)$

Step 1

Remove parentheses.

$- 7 {(- 1)}^{3} + 5 {(- 1)}^{2} - 1$

Step 2

Simplify each term.

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Step 2.1

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

$- 7 \cdot - 1 + 5 {(- 1)}^{2} - 1$

Step 2.2

Multiply $- 7$ by $- 1$ .

$7 + 5 {(- 1)}^{2} - 1$

Step 2.3

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

$7 + 5 \cdot 1 - 1$

Step 2.4

Multiply $5$ by $1$ .

$7 + 5 - 1$

$7 + 5 - 1$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $7$ and $5$ .

$12 - 1$

Step 3.2

Subtract $1$ from $12$ .

$11$

$11$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$