Algebra Examples

$- 1^{2} + 3^{2} + - 1 - 3$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$- 1^{2} + 3^{2} - 1 - 3$

Step 2

Simplify each term.

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Step 2.1

One to any power is one.

$- 1 \cdot 1 + 3^{2} - 1 - 3$

Step 2.2

Multiply $- 1$ by $1$ .

$- 1 + 3^{2} - 1 - 3$

Step 2.3

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

$- 1 + 9 - 1 - 3$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $- 1$ and $9$ .

$8 - 1 - 3$

Step 3.2

Subtract $1$ from $8$ .

$7 - 3$

Step 3.3

Subtract $3$ from $7$ .

$4$