Pre-Algebra Examples

(x + 1) (x - 9)

$(x + 1) (x - 9)$

Step 1

Expand

(x + 1) (x - 9)

$(x + 1) (x - 9)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

x (x - 9) + 1 (x - 9)

$x (x - 9) + 1 (x - 9)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot - 9 + 1 (x - 9)

$x \cdot x + x \cdot - 9 + 1 (x - 9)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot - 9 + 1 x + 1 \cdot - 9

$x \cdot x + x \cdot - 9 + 1 x + 1 \cdot - 9$

x \cdot x + x \cdot - 9 + 1 x + 1 \cdot - 9

$x \cdot x + x \cdot - 9 + 1 x + 1 \cdot - 9$

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

$x$ .

x^{2} + x \cdot - 9 + 1 x + 1 \cdot - 9

$x^{2} + x \cdot - 9 + 1 x + 1 \cdot - 9$

Step 2.1.2

Move

- 9

$- 9$ to the left of

x

$x$ .

x^{2} - 9 \cdot x + 1 x + 1 \cdot - 9

$x^{2} - 9 \cdot x + 1 x + 1 \cdot - 9$

Step 2.1.3

Multiply

x

$x$ by

1

$1$ .

x^{2} - 9 x + x + 1 \cdot - 9

$x^{2} - 9 x + x + 1 \cdot - 9$

Step 2.1.4

Multiply

- 9

$- 9$ by

1

$1$ .

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

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

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

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

Step 2.2

Add

- 9 x

$- 9 x$ and

x

$x$ .

x^{2} - 8 x - 9

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

x^{2} - 8 x - 9

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

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

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