Algebra Examples

$(x - 3) (x - 5)$

Step 1

Expand

$(x - 3) (x - 5)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (x - 5) - 3 (x - 5)$

Step 1.2

Apply the distributive property.

$x \cdot x + x \cdot - 5 - 3 (x - 5)$

Step 1.3

Apply the distributive property.

$x \cdot x + x \cdot - 5 - 3 x - 3 \cdot - 5$

$x \cdot x + x \cdot - 5 - 3 x - 3 \cdot - 5$

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

$x$ by

$x$ .

$x^{2} + x \cdot - 5 - 3 x - 3 \cdot - 5$

Step 2.1.2

Move

$- 5$ to the left of

$x$ .

$x^{2} - 5 \cdot x - 3 x - 3 \cdot - 5$

Step 2.1.3

Multiply

$- 3$ by

$- 5$ .

$x^{2} - 5 x - 3 x + 15$

$x^{2} - 5 x - 3 x + 15$

Step 2.2

Subtract

$3 x$ from

$- 5 x$ .

$x^{2} - 8 x + 15$

$x^{2} - 8 x + 15$

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