Basic Math Examples

$a n = 2 n - 1$

Step 1

Divide each term in $a n = 2 n - 1$ by $n$ .

$\frac{a n}{n} = \frac{2 n}{n} + \frac{- 1}{n}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $n$ .

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Step 2.1.1

Cancel the common factor.

$\frac{a n}{n} = \frac{2 n}{n} + \frac{- 1}{n}$

Step 2.1.2

Divide $a$ by $1$ .

$a = \frac{2 n}{n} + \frac{- 1}{n}$

$a = \frac{2 n}{n} + \frac{- 1}{n}$

$a = \frac{2 n}{n} + \frac{- 1}{n}$

Step 3

Simplify the right side.

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Step 3.1

Simplify each term.

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Step 3.1.1

Cancel the common factor of $n$ .

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Step 3.1.1.1

Cancel the common factor.

$a = \frac{2 n}{n} + \frac{- 1}{n}$

Step 3.1.1.2

Divide $2$ by $1$ .

$a = 2 + \frac{- 1}{n}$

$a = 2 + \frac{- 1}{n}$

Step 3.1.2

Move the negative in front of the fraction.

$a = 2 - \frac{1}{n}$

$a = 2 - \frac{1}{n}$

$a = 2 - \frac{1}{n}$

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