Algebra Examples

(x - 2) (x - 4)

$(x - 2) (x - 4)$

Step 1

Expand

(x - 2) (x - 4)

$(x - 2) (x - 4)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

x (x - 4) - 2 (x - 4)

$x (x - 4) - 2 (x - 4)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot - 4 - 2 (x - 4)

$x \cdot x + x \cdot - 4 - 2 (x - 4)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot - 4 - 2 x - 2 \cdot - 4

$x \cdot x + x \cdot - 4 - 2 x - 2 \cdot - 4$

x \cdot x + x \cdot - 4 - 2 x - 2 \cdot - 4

$x \cdot x + x \cdot - 4 - 2 x - 2 \cdot - 4$

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 - 4 - 2 x - 2 \cdot - 4

$x^{2} + x \cdot - 4 - 2 x - 2 \cdot - 4$

Step 2.1.2

Move

- 4

$- 4$ to the left of

x

$x$ .

x^{2} - 4 \cdot x - 2 x - 2 \cdot - 4

$x^{2} - 4 \cdot x - 2 x - 2 \cdot - 4$

Step 2.1.3

Multiply

- 2

$- 2$ by

- 4

$- 4$ .

x^{2} - 4 x - 2 x + 8

$x^{2} - 4 x - 2 x + 8$

x^{2} - 4 x - 2 x + 8

$x^{2} - 4 x - 2 x + 8$

Step 2.2

Subtract

2 x

$2 x$ from

- 4 x

$- 4 x$ .

x^{2} - 6 x + 8

$x^{2} - 6 x + 8$

x^{2} - 6 x + 8

$x^{2} - 6 x + 8$

(x - 2) (x - 4)

$(x - 2) (x - 4)$

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

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