Pre-Algebra Examples

(- 9 x^{2} - 2 x) - (- 9 x^{2} - 3 x)

$(- 9 x^{2} - 2 x) - (- 9 x^{2} - 3 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

- 9 x^{2} - 2 x - (- 9 x^{2}) - (- 3 x)

$- 9 x^{2} - 2 x - (- 9 x^{2}) - (- 3 x)$

Step 1.2

Multiply

- 9

$- 9$ by

- 1

$- 1$ .

- 9 x^{2} - 2 x + 9 x^{2} - (- 3 x)

$- 9 x^{2} - 2 x + 9 x^{2} - (- 3 x)$

Step 1.3

Multiply

- 3

$- 3$ by

- 1

$- 1$ .

- 9 x^{2} - 2 x + 9 x^{2} + 3 x

$- 9 x^{2} - 2 x + 9 x^{2} + 3 x$

- 9 x^{2} - 2 x + 9 x^{2} + 3 x

$- 9 x^{2} - 2 x + 9 x^{2} + 3 x$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in

- 9 x^{2} - 2 x + 9 x^{2} + 3 x

$- 9 x^{2} - 2 x + 9 x^{2} + 3 x$ .

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Step 2.1.1

Add

- 9 x^{2}

$- 9 x^{2}$ and

9 x^{2}

$9 x^{2}$ .

- 2 x + 0 + 3 x

$- 2 x + 0 + 3 x$

Step 2.1.2

Add

- 2 x

$- 2 x$ and

0

$0$ .

- 2 x + 3 x

$- 2 x + 3 x$

- 2 x + 3 x

$- 2 x + 3 x$

Step 2.2

Add

- 2 x

$- 2 x$ and

3 x

$3 x$ .

x

$x$

x

$x$

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

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