Finite Math Examples

$(e - 3) (e + 2)$

Step 1

Expand $(e - 3) (e + 2)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$e (e + 2) - 3 (e + 2)$

Step 1.2

Apply the distributive property.

$e e + e \cdot 2 - 3 (e + 2)$

Step 1.3

Apply the distributive property.

$e e + e \cdot 2 - 3 e - 3 \cdot 2$

$e e + e \cdot 2 - 3 e - 3 \cdot 2$

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 $e e$ .

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Step 2.1.1.1

Raise $e$ to the power of $1$ .

$e^{1} e + e \cdot 2 - 3 e - 3 \cdot 2$

Step 2.1.1.2

Raise $e$ to the power of $1$ .

$e^{1} e^{1} + e \cdot 2 - 3 e - 3 \cdot 2$

Step 2.1.1.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$e^{1 + 1} + e \cdot 2 - 3 e - 3 \cdot 2$

Step 2.1.1.4

Add $1$ and $1$ .

$e^{2} + e \cdot 2 - 3 e - 3 \cdot 2$

$e^{2} + e \cdot 2 - 3 e - 3 \cdot 2$

Step 2.1.2

Move $2$ to the left of $e$ .

$e^{2} + 2 \cdot e - 3 e - 3 \cdot 2$

Step 2.1.3

Multiply $- 3$ by $2$ .

$e^{2} + 2 e - 3 e - 6$

$e^{2} + 2 e - 3 e - 6$

Step 2.2

Subtract $3 e$ from $2 e$ .

$e^{2} - e - 6$

$e^{2} - e - 6$

Step 3

The result can be shown in multiple forms.

Exact Form:

$e^{2} - e - 6$

Decimal Form:

$- 1.32922572 \dots$

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