Basic Math Examples

{(\frac{2}{2} \cdot e - 6)}^{2}

${(\frac{2}{2} \cdot e - 6)}^{2}$

Step 1

Simplify terms.

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Step 1.1

Simplify each term.

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Step 1.1.1

Cancel the common factor of

$2$ .

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Step 1.1.1.1

Cancel the common factor.

${(\frac{2}{2} \cdot e - 6)}^{2}$

Step 1.1.1.2

Rewrite the expression.

${(1 \cdot e - 6)}^{2}$

${(1 \cdot e - 6)}^{2}$

Step 1.1.2

Multiply

$e$ by

$1$ .

${(e - 6)}^{2}$

${(e - 6)}^{2}$

Step 1.2

Rewrite

${(e - 6)}^{2}$ as

$(e - 6) (e - 6)$ .

$(e - 6) (e - 6)$

$(e - 6) (e - 6)$

Step 2

Expand

$(e - 6) (e - 6)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$e (e - 6) - 6 (e - 6)$

Step 2.2

Apply the distributive property.

$e e + e \cdot - 6 - 6 (e - 6)$

Step 2.3

Apply the distributive property.

$e e + e \cdot - 6 - 6 e - 6 \cdot - 6$

$e e + e \cdot - 6 - 6 e - 6 \cdot - 6$

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

$1$ .

$e^{1} e + e \cdot - 6 - 6 e - 6 \cdot - 6$

Step 3.1.1.2

Raise

$e$ to the power of

$1$ .

$e^{1} e^{1} + e \cdot - 6 - 6 e - 6 \cdot - 6$

Step 3.1.1.3

Use the power rule

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

$e^{1 + 1} + e \cdot - 6 - 6 e - 6 \cdot - 6$

Step 3.1.1.4

Add

$1$ and

$1$ .

$e^{2} + e \cdot - 6 - 6 e - 6 \cdot - 6$

$e^{2} + e \cdot - 6 - 6 e - 6 \cdot - 6$

Step 3.1.2

Move

$- 6$ to the left of

$e$ .

$e^{2} - 6 \cdot e - 6 e - 6 \cdot - 6$

Step 3.1.3

Multiply

$- 6$ by

$- 6$ .

$e^{2} - 6 e - 6 e + 36$

$e^{2} - 6 e - 6 e + 36$

Step 3.2

Subtract

$6 e$ from

$- 6 e$ .

$e^{2} - 12 e + 36$

$e^{2} - 12 e + 36$

Step 4

The result can be shown in multiple forms.

Exact Form:

$e^{2} - 12 e + 36$

Decimal Form:

$10.76967415 \dots$

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