Algebra Examples

$(x - 5) (x - 6)$

Step 1

Expand $(x - 5) (x - 6)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (x - 6) - 5 (x - 6)$

Step 1.2

Apply the distributive property.

$x \cdot x + x \cdot - 6 - 5 (x - 6)$

Step 1.3

Apply the distributive property.

$x \cdot x + x \cdot - 6 - 5 x - 5 \cdot - 6$

$x \cdot x + x \cdot - 6 - 5 x - 5 \cdot - 6$

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 $x$ .

$x^{2} + x \cdot - 6 - 5 x - 5 \cdot - 6$

Step 2.1.2

Move $- 6$ to the left of $x$ .

$x^{2} - 6 \cdot x - 5 x - 5 \cdot - 6$

Step 2.1.3

Multiply $- 5$ by $- 6$ .

$x^{2} - 6 x - 5 x + 30$

$x^{2} - 6 x - 5 x + 30$

Step 2.2

Subtract $5 x$ from $- 6 x$ .

$x^{2} - 11 x + 30$

$x^{2} - 11 x + 30$

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