Finite Math Examples

$a (n) = \frac{n^{2}}{n}$

Step 1

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 1.1

Reduce the expression $\frac{n^{2}}{n}$ by cancelling the common factors.

Tap for more steps...

Step 1.1.1

Factor $n$ out of $n^{2}$ .

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

Step 1.1.2

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

$a n = \frac{n \cdot n}{n^{1}}$

Step 1.1.3

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

$a n = \frac{n \cdot n}{n \cdot 1}$

Step 1.1.4

Cancel the common factor.

$a n = \frac{n \cdot n}{n \cdot 1}$

Step 1.1.5

Rewrite the expression.

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

Step 1.2

Divide $n$ by $1$ .

$a n = n$

Step 2

Solve the equation.

Tap for more steps...

Step 2.1

Subtract $n$ from both sides of the equation.

$a n - n = 0$

Step 2.2

Factor $n$ out of $a n - n$ .

Tap for more steps...

Step 2.2.1

Factor $n$ out of $a n$ .

$n a - n = 0$

Step 2.2.2

Factor $n$ out of $- n$ .

$n a + n \cdot - 1 = 0$

Step 2.2.3

Factor $n$ out of $n a + n \cdot - 1$ .

$n (a - 1) = 0$

Step 2.3

Divide each term in $n (a - 1) = 0$ by $a - 1$ and simplify.

Tap for more steps...

Step 2.3.1

Divide each term in $n (a - 1) = 0$ by $a - 1$ .

$\frac{n (a - 1)}{a - 1} = \frac{0}{a - 1}$

Step 2.3.2

Simplify the left side.

Tap for more steps...

Step 2.3.2.1

Cancel the common factor of $a - 1$ .

Tap for more steps...

Step 2.3.2.1.1

Cancel the common factor.

$\frac{n (a - 1)}{a - 1} = \frac{0}{a - 1}$

Step 2.3.2.1.2

Divide $n$ by $1$ .

$n = \frac{0}{a - 1}$

Step 2.3.3

Simplify the right side.

Tap for more steps...

Step 2.3.3.1

Divide $0$ by $a - 1$ .

$n = 0$