Algebra Examples

(x - 3) (x - 1)

$(x - 3) (x - 1)$

Step 1

Expand

(x - 3) (x - 1)

$(x - 3) (x - 1)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

x (x - 1) - 3 (x - 1)

$x (x - 1) - 3 (x - 1)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot - 1 - 3 (x - 1)

$x \cdot x + x \cdot - 1 - 3 (x - 1)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot - 1 - 3 x - 3 \cdot - 1

$x \cdot x + x \cdot - 1 - 3 x - 3 \cdot - 1$

x \cdot x + x \cdot - 1 - 3 x - 3 \cdot - 1

$x \cdot x + x \cdot - 1 - 3 x - 3 \cdot - 1$

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 - 1 - 3 x - 3 \cdot - 1

$x^{2} + x \cdot - 1 - 3 x - 3 \cdot - 1$

Step 2.1.2

Move

- 1

$- 1$ to the left of

x

$x$ .

x^{2} - 1 \cdot x - 3 x - 3 \cdot - 1

$x^{2} - 1 \cdot x - 3 x - 3 \cdot - 1$

Step 2.1.3

Rewrite

- 1 x

$- 1 x$ as

- x

$- x$ .

x^{2} - x - 3 x - 3 \cdot - 1

$x^{2} - x - 3 x - 3 \cdot - 1$

Step 2.1.4

Multiply

- 3

$- 3$ by

- 1

$- 1$ .

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

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

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

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

Step 2.2

Subtract

3 x

$3 x$ from

- x

$- x$ .

x^{2} - 4 x + 3

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

x^{2} - 4 x + 3

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

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

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