Algebra Examples

$(x + 4) (x - 6)$

Step 1

Expand $(x + 4) (x - 6)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (x - 6) + 4 (x - 6)$

Step 1.2

Apply the distributive property.

$x \cdot x + x \cdot - 6 + 4 (x - 6)$

Step 1.3

Apply the distributive property.

$x \cdot x + x \cdot - 6 + 4 x + 4 \cdot - 6$

$x \cdot x + x \cdot - 6 + 4 x + 4 \cdot - 6$

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 $x$ .

$x^{2} + x \cdot - 6 + 4 x + 4 \cdot - 6$

Step 2.1.2

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

$x^{2} - 6 \cdot x + 4 x + 4 \cdot - 6$

Step 2.1.3

Multiply $4$ by $- 6$ .

$x^{2} - 6 x + 4 x - 24$

$x^{2} - 6 x + 4 x - 24$

Step 2.2

Add $- 6 x$ and $4 x$ .

$x^{2} - 2 x - 24$

$x^{2} - 2 x - 24$

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