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Evaluate (e+2)(e-4)

$(e + 2) (e - 4)$

Step 1

Expand $(e + 2) (e - 4)$ using the FOIL Method.

Apply the distributive property.

$e (e - 4) + 2 (e - 4)$

Apply the distributive property.

$e e + e \cdot - 4 + 2 (e - 4)$

Apply the distributive property.

$e e + e \cdot - 4 + 2 e + 2 \cdot - 4$

$e e + e \cdot - 4 + 2 e + 2 \cdot - 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $e e$ .

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

$e^{1} e + e \cdot - 4 + 2 e + 2 \cdot - 4$

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

$e^{1} e^{1} + e \cdot - 4 + 2 e + 2 \cdot - 4$

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

$e^{1 + 1} + e \cdot - 4 + 2 e + 2 \cdot - 4$

Add $1$ and $1$ .

$e^{2} + e \cdot - 4 + 2 e + 2 \cdot - 4$

$e^{2} + e \cdot - 4 + 2 e + 2 \cdot - 4$

Move $- 4$ to the left of $e$ .

$e^{2} - 4 \cdot e + 2 e + 2 \cdot - 4$

Multiply $2$ by $- 4$ .

$e^{2} - 4 e + 2 e - 8$

$e^{2} - 4 e + 2 e - 8$

Add $- 4 e$ and $2 e$ .

$e^{2} - 2 e - 8$

$e^{2} - 2 e - 8$

Step 3

The result can be shown in multiple forms.

Exact Form:

$e^{2} - 2 e - 8$

Decimal Form:

$- 6.04750755 \dots$

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