Algebra Examples

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

Add $x$ and $x$ .

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

Step 3

Simplify the expression.

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Step 3.1

Move $4$ .

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

Step 3.2

Reorder $2 x$ and $x^{2}$ .

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