Basic Math Examples

$a (n) = 3 + {(15 - 1)}^{2}$

Step 1

Subtract $1$ from $15$ .

$a n = 3 + 14^{2}$

Step 2

Divide each term in $a n = 3 + 14^{2}$ by $n$ and simplify.

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Step 2.1

Divide each term in $a n = 3 + 14^{2}$ by $n$ .

$\frac{a n}{n} = \frac{3}{n} + \frac{14^{2}}{n}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $n$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{a n}{n} = \frac{3}{n} + \frac{14^{2}}{n}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{3}{n} + \frac{14^{2}}{n}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Combine the numerators over the common denominator.

$a = \frac{3 + 14^{2}}{n}$

Step 2.3.2

Simplify the expression.

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Step 2.3.2.1

Raise $14$ to the power of $2$ .

$a = \frac{3 + 196}{n}$

Step 2.3.2.2

Add $3$ and $196$ .

$a = \frac{199}{n}$