Basic Math Examples

(e + 2) (e - 4)

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

Step 1

Expand

(e + 2) (e - 4)

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

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Step 1.1

Apply the distributive property.

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

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

Step 1.2

Apply the distributive property.

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

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

Step 1.3

Apply the distributive property.

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

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

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.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

e e

$e e$ .

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Step 2.1.1.1

Raise

e

$e$ to the power of

1

$1$ .

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

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

Step 2.1.1.2

Raise

e

$e$ to the power of

1

$1$ .

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

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

Step 2.1.1.3

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

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

Step 2.1.1.4

Add

1

$1$ and

1

$1$ .

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

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

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

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

Step 2.1.2

Move

- 4

$- 4$ to the left of

e

$e$ .

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

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

Step 2.1.3

Multiply

2

$2$ by

- 4

$- 4$ .

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

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

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

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

Step 2.2

Add

- 4 e

$- 4 e$ and

2 e

$2 e$ .

e^{2} - 2 e - 8

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

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

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

Decimal Form:

- 6.04750755 \dots

$- 6.04750755 \dots$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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