Algebra Examples

- 3^{2} + - 4^{2}

$- 3^{2} + - 4^{2}$

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

$1 \cdot - 1 = - 1$

- 3^{2} - 4^{2}

$- 3^{2} - 4^{2}$

Step 2

Simplify each term.

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Step 2.1

Raise

3

$3$ to the power of

2

$2$ .

- 1 \cdot 9 - 4^{2}

$- 1 \cdot 9 - 4^{2}$

Step 2.2

Multiply

- 1

$- 1$ by

9

$9$ .

- 9 - 4^{2}

$- 9 - 4^{2}$

Step 2.3

Raise

4

$4$ to the power of

2

$2$ .

- 9 - 1 \cdot 16

$- 9 - 1 \cdot 16$

Step 2.4

Multiply

- 1

$- 1$ by

16

$16$ .

- 9 - 16

$- 9 - 16$

- 9 - 16

$- 9 - 16$

Step 3

Subtract

16

$16$ from

- 9

$- 9$ .

- 25

$- 25$

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

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