Basic Math Examples

$B = y s + y$

Step 1

Rewrite the equation as $y s + y = B$ .

$y s + y = B$

Step 2

Factor $y$ out of $y s + y$ .

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Step 2.1

Factor $y$ out of $y s$ .

$y (s) + y = B$

Step 2.2

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

$y (s) + y = B$

Step 2.3

Factor $y$ out of $y^{1}$ .

$y (s) + y \cdot 1 = B$

Step 2.4

Factor $y$ out of $y (s) + y \cdot 1$ .

$y (s + 1) = B$

$y (s + 1) = B$

Step 3

Divide each term in $y (s + 1) = B$ by $s + 1$ and simplify.

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Step 3.1

Divide each term in $y (s + 1) = B$ by $s + 1$ .

$\frac{y (s + 1)}{s + 1} = \frac{B}{s + 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $s + 1$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{y (s + 1)}{s + 1} = \frac{B}{s + 1}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{B}{s + 1}$

$y = \frac{B}{s + 1}$

$y = \frac{B}{s + 1}$

$y = \frac{B}{s + 1}$

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