Basic Math Examples

${(e - 7)}^{2}$

Step 1

Rewrite ${(e - 7)}^{2}$ as $(e - 7) (e - 7)$ .

$(e - 7) (e - 7)$

Step 2

Expand $(e - 7) (e - 7)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$e (e - 7) - 7 (e - 7)$

Step 2.2

Apply the distributive property.

$e e + e \cdot - 7 - 7 (e - 7)$

Step 2.3

Apply the distributive property.

$e e + e \cdot - 7 - 7 e - 7 \cdot - 7$

$e e + e \cdot - 7 - 7 e - 7 \cdot - 7$

Step 3

Simplify and combine like terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply $e e$ .

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Step 3.1.1.1

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

$e^{1} e + e \cdot - 7 - 7 e - 7 \cdot - 7$

Step 3.1.1.2

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

$e^{1} e^{1} + e \cdot - 7 - 7 e - 7 \cdot - 7$

Step 3.1.1.3

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

$e^{1 + 1} + e \cdot - 7 - 7 e - 7 \cdot - 7$

Step 3.1.1.4

Add $1$ and $1$ .

$e^{2} + e \cdot - 7 - 7 e - 7 \cdot - 7$

$e^{2} + e \cdot - 7 - 7 e - 7 \cdot - 7$

Step 3.1.2

Move $- 7$ to the left of $e$ .

$e^{2} - 7 \cdot e - 7 e - 7 \cdot - 7$

Step 3.1.3

Multiply $- 7$ by $- 7$ .

$e^{2} - 7 e - 7 e + 49$

$e^{2} - 7 e - 7 e + 49$

Step 3.2

Subtract $7 e$ from $- 7 e$ .

$e^{2} - 14 e + 49$

$e^{2} - 14 e + 49$

Step 4

The result can be shown in multiple forms.

Exact Form:

$e^{2} - 14 e + 49$

Decimal Form:

$18.33311050 \dots$

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