Pre-Algebra Examples

(5 x - 9) (x + 6)

$(5 x - 9) (x + 6)$

Step 1

Expand

(5 x - 9) (x + 6)

$(5 x - 9) (x + 6)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

5 x (x + 6) - 9 (x + 6)

$5 x (x + 6) - 9 (x + 6)$

Step 1.2

Apply the distributive property.

5 x \cdot x + 5 x \cdot 6 - 9 (x + 6)

$5 x \cdot x + 5 x \cdot 6 - 9 (x + 6)$

Step 1.3

Apply the distributive property.

5 x \cdot x + 5 x \cdot 6 - 9 x - 9 \cdot 6

$5 x \cdot x + 5 x \cdot 6 - 9 x - 9 \cdot 6$

5 x \cdot x + 5 x \cdot 6 - 9 x - 9 \cdot 6

$5 x \cdot x + 5 x \cdot 6 - 9 x - 9 \cdot 6$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

x

$x$ by

x

$x$ by adding the exponents.

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Step 2.1.1.1

Move

x

$x$ .

5 (x \cdot x) + 5 x \cdot 6 - 9 x - 9 \cdot 6

$5 (x \cdot x) + 5 x \cdot 6 - 9 x - 9 \cdot 6$

Step 2.1.1.2

Multiply

x

$x$ by

x

$x$ .

5 x^{2} + 5 x \cdot 6 - 9 x - 9 \cdot 6

$5 x^{2} + 5 x \cdot 6 - 9 x - 9 \cdot 6$

5 x^{2} + 5 x \cdot 6 - 9 x - 9 \cdot 6

$5 x^{2} + 5 x \cdot 6 - 9 x - 9 \cdot 6$

Step 2.1.2

Multiply

6

$6$ by

5

$5$ .

5 x^{2} + 30 x - 9 x - 9 \cdot 6

$5 x^{2} + 30 x - 9 x - 9 \cdot 6$

Step 2.1.3

Multiply

- 9

$- 9$ by

6

$6$ .

5 x^{2} + 30 x - 9 x - 54

$5 x^{2} + 30 x - 9 x - 54$

5 x^{2} + 30 x - 9 x - 54

$5 x^{2} + 30 x - 9 x - 54$

Step 2.2

Subtract

9 x

$9 x$ from

30 x

$30 x$ .

5 x^{2} + 21 x - 54

$5 x^{2} + 21 x - 54$

5 x^{2} + 21 x - 54

$5 x^{2} + 21 x - 54$

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

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