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Examples

(x + 2) (x + 3)

$(x + 2) (x + 3)$

Step 1

Expand

(x + 2) (x + 3)

$(x + 2) (x + 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

x (x + 3) + 2 (x + 3)

$x (x + 3) + 2 (x + 3)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot 3 + 2 (x + 3)

$x \cdot x + x \cdot 3 + 2 (x + 3)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot 3 + 2 x + 2 \cdot 3

$x \cdot x + x \cdot 3 + 2 x + 2 \cdot 3$

x \cdot x + x \cdot 3 + 2 x + 2 \cdot 3

$x \cdot x + x \cdot 3 + 2 x + 2 \cdot 3$

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 3 + 2 x + 2 \cdot 3

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

Step 2.1.2

Move

3

$3$ to the left of

x

$x$ .

x^{2} + 3 \cdot x + 2 x + 2 \cdot 3

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

Step 2.1.3

Multiply

2

$2$ by

3

$3$ .

x^{2} + 3 x + 2 x + 6

$x^{2} + 3 x + 2 x + 6$

x^{2} + 3 x + 2 x + 6

$x^{2} + 3 x + 2 x + 6$

Step 2.2

Add

3 x

$3 x$ and

2 x

$2 x$ .

x^{2} + 5 x + 6

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

x^{2} + 5 x + 6

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

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

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