Pre-Algebra Examples

(8 x^{2} + 8 x) - (- 9 x^{2} + 8 x)

$(8 x^{2} + 8 x) - (- 9 x^{2} + 8 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

8 x^{2} + 8 x - (- 9 x^{2}) - (8 x)

$8 x^{2} + 8 x - (- 9 x^{2}) - (8 x)$

Step 1.2

Multiply

- 9

$- 9$ by

- 1

$- 1$ .

8 x^{2} + 8 x + 9 x^{2} - (8 x)

$8 x^{2} + 8 x + 9 x^{2} - (8 x)$

Step 1.3

Multiply

8

$8$ by

- 1

$- 1$ .

8 x^{2} + 8 x + 9 x^{2} - 8 x

$8 x^{2} + 8 x + 9 x^{2} - 8 x$

8 x^{2} + 8 x + 9 x^{2} - 8 x

$8 x^{2} + 8 x + 9 x^{2} - 8 x$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in

8 x^{2} + 8 x + 9 x^{2} - 8 x

$8 x^{2} + 8 x + 9 x^{2} - 8 x$ .

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Step 2.1.1

Subtract

8 x

$8 x$ from

8 x

$8 x$ .

8 x^{2} + 9 x^{2} + 0

$8 x^{2} + 9 x^{2} + 0$

Step 2.1.2

Add

8 x^{2} + 9 x^{2}

$8 x^{2} + 9 x^{2}$ and

0

$0$ .

8 x^{2} + 9 x^{2}

$8 x^{2} + 9 x^{2}$

8 x^{2} + 9 x^{2}

$8 x^{2} + 9 x^{2}$

Step 2.2

Add

8 x^{2}

$8 x^{2}$ and

9 x^{2}

$9 x^{2}$ .

17 x^{2}

$17 x^{2}$

17 x^{2}

$17 x^{2}$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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