Precalculus Examples

$S (10) = 4 π^{2}$

Step 1

Divide each term in $S (10) = 4 π^{2}$ by $10$ .

$\frac{S \cdot 10}{10} = \frac{4 π^{2}}{10}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $10$ .

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Step 2.1.1

Cancel the common factor.

$\frac{S \cdot 10}{10} = \frac{4 π^{2}}{10}$

Step 2.1.2

Divide $S$ by $1$ .

$S = \frac{4 π^{2}}{10}$

$S = \frac{4 π^{2}}{10}$

$S = \frac{4 π^{2}}{10}$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $4$ and $10$ .

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Step 3.1.1

Factor $2$ out of $4 π^{2}$ .

$S = \frac{2 (2 π^{2})}{10}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $2$ out of $10$ .

$S = \frac{2 (2 π^{2})}{2 (5)}$

Step 3.1.2.2

Cancel the common factor.

$S = \frac{2 (2 π^{2})}{2 \cdot 5}$

Step 3.1.2.3

Rewrite the expression.

$S = \frac{2 π^{2}}{5}$

$S = \frac{2 π^{2}}{5}$

$S = \frac{2 π^{2}}{5}$

$S = \frac{2 π^{2}}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$S = \frac{2 π^{2}}{5}$

Decimal Form:

$S = 3.94784176 \dots$

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