Algebra Examples

(x - 5) (x - 2)

$(x - 5) (x - 2)$

Step 1

Expand

(x - 5) (x - 2)

$(x - 5) (x - 2)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

x (x - 2) - 5 (x - 2)

$x (x - 2) - 5 (x - 2)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot - 2 - 5 (x - 2)

$x \cdot x + x \cdot - 2 - 5 (x - 2)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot - 2 - 5 x - 5 \cdot - 2

$x \cdot x + x \cdot - 2 - 5 x - 5 \cdot - 2$

x \cdot x + x \cdot - 2 - 5 x - 5 \cdot - 2

$x \cdot x + x \cdot - 2 - 5 x - 5 \cdot - 2$

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 - 2 - 5 x - 5 \cdot - 2

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

Step 2.1.2

Move

- 2

$- 2$ to the left of

x

$x$ .

x^{2} - 2 \cdot x - 5 x - 5 \cdot - 2

$x^{2} - 2 \cdot x - 5 x - 5 \cdot - 2$

Step 2.1.3

Multiply

- 5

$- 5$ by

- 2

$- 2$ .

x^{2} - 2 x - 5 x + 10

$x^{2} - 2 x - 5 x + 10$

x^{2} - 2 x - 5 x + 10

$x^{2} - 2 x - 5 x + 10$

Step 2.2

Subtract

5 x

$5 x$ from

- 2 x

$- 2 x$ .

x^{2} - 7 x + 10

$x^{2} - 7 x + 10$

x^{2} - 7 x + 10

$x^{2} - 7 x + 10$

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

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