Algebra Examples

s = π r l + π r^{2}

$s = π r l + π r^{2}$

Step 1

Rewrite the equation as

π r l + π r^{2} = s

$π r l + π r^{2} = s$ .

π r l + π r^{2} = s

$π r l + π r^{2} = s$

Step 2

Subtract

π r^{2}

$π r^{2}$ from both sides of the equation.

π r l = s - π r^{2}

$π r l = s - π r^{2}$

Step 3

Divide each term in

π r l = s - π r^{2}

$π r l = s - π r^{2}$ by

π r

$π r$ and simplify.

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Step 3.1

Divide each term in

π r l = s - π r^{2}

$π r l = s - π r^{2}$ by

π r

$π r$ .

\frac{π r l}{π r} = \frac{s}{π r} + \frac{- π r^{2}}{π r}

$\frac{π r l}{π r} = \frac{s}{π r} + \frac{- π r^{2}}{π r}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

π

$π$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{π r l}{π r} = \frac{s}{π r} + \frac{- π r^{2}}{π r}$

Step 3.2.1.2

Rewrite the expression.

$\frac{r l}{r} = \frac{s}{π r} + \frac{- π r^{2}}{π r}$

Step 3.2.2

Cancel the common factor of

$r$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{r l}{r} = \frac{s}{π r} + \frac{- π r^{2}}{π r}$

Step 3.2.2.2

Divide

$l$ by

$1$ .

$l = \frac{s}{π r} + \frac{- π r^{2}}{π r}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of

$π$ .

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Step 3.3.1.1.1

Cancel the common factor.

$l = \frac{s}{π r} + \frac{- π r^{2}}{π r}$

Step 3.3.1.1.2

Rewrite the expression.

$l = \frac{s}{π r} + \frac{- 1 r^{2}}{r}$

Step 3.3.1.2

Cancel the common factor of

$r^{2}$ and

$r$ .

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Step 3.3.1.2.1

Factor

$r$ out of

$- 1 r^{2}$ .

$l = \frac{s}{π r} + \frac{r (- 1 r)}{r}$

Step 3.3.1.2.2

Cancel the common factors.

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Step 3.3.1.2.2.1

Raise

$r$ to the power of

$1$ .

$l = \frac{s}{π r} + \frac{r (- 1 r)}{r^{1}}$

Step 3.3.1.2.2.2

Factor

$r$ out of

$r^{1}$ .

$l = \frac{s}{π r} + \frac{r (- 1 r)}{r \cdot 1}$

Step 3.3.1.2.2.3

Cancel the common factor.

$l = \frac{s}{π r} + \frac{r (- 1 r)}{r \cdot 1}$

Step 3.3.1.2.2.4

Rewrite the expression.

$l = \frac{s}{π r} + \frac{- 1 r}{1}$

Step 3.3.1.2.2.5

Divide

$- 1 r$ by

$1$ .

$l = \frac{s}{π r} - 1 r$

Step 3.3.1.3

Rewrite

$- 1 r$ as

$- r$ .

$l = \frac{s}{π r} - r$