Algebra Examples

$2 - \frac{x - 1}{x + 2}$

Step 1

To write $2$ as a fraction with a common denominator, multiply by $\frac{x + 2}{x + 2}$ .

$\frac{2 (x + 2)}{x + 2} - \frac{x - 1}{x + 2}$

Step 2

Combine the numerators over the common denominator.

$\frac{2 (x + 2) - (x - 1)}{x + 2}$

Step 3

Simplify the numerator.

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Step 3.1

Apply the distributive property.

$\frac{2 x + 2 \cdot 2 - (x - 1)}{x + 2}$

Step 3.2

Multiply $2$ by $2$ .

$\frac{2 x + 4 - (x - 1)}{x + 2}$

Step 3.3

Apply the distributive property.

$\frac{2 x + 4 - x - - 1}{x + 2}$

Step 3.4

Multiply $- 1$ by $- 1$ .

$\frac{2 x + 4 - x + 1}{x + 2}$

Step 3.5

Subtract $x$ from $2 x$ .

$\frac{x + 4 + 1}{x + 2}$

Step 3.6

Add $4$ and $1$ .

$\frac{x + 5}{x + 2}$