Algebra Examples

$\frac{5 n}{n + 1} - \frac{3 n - 2}{n + 1}$

Step 1

Combine the numerators over the common denominator.

$\frac{5 n - (3 n - 2)}{n + 1}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{5 n - (3 n) - - 2}{n + 1}$

Step 2.2

Multiply $3$ by $- 1$ .

$\frac{5 n - 3 n - - 2}{n + 1}$

Step 2.3

Multiply $- 1$ by $- 2$ .

$\frac{5 n - 3 n + 2}{n + 1}$

$\frac{5 n - 3 n + 2}{n + 1}$

Step 3

Simplify terms.

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Step 3.1

Subtract $3 n$ from $5 n$ .

$\frac{2 n + 2}{n + 1}$

Step 3.2

Factor $2$ out of $2 n + 2$ .

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Step 3.2.1

Factor $2$ out of $2 n$ .

$\frac{2 (n) + 2}{n + 1}$

Step 3.2.2

Factor $2$ out of $2$ .

$\frac{2 (n) + 2 (1)}{n + 1}$

Step 3.2.3

Factor $2$ out of $2 (n) + 2 (1)$ .

$\frac{2 (n + 1)}{n + 1}$

$\frac{2 (n + 1)}{n + 1}$

Step 3.3

Cancel the common factor of $n + 1$ .

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Step 3.3.1

Cancel the common factor.

$\frac{2 (n + 1)}{n + 1}$

Step 3.3.2

Divide $2$ by $1$ .

$2$

$2$

$2$

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