Algebra Examples

$\frac{x^{2} + 2 x}{- 4 x + 8}$

Step 1

Factor $x$ out of $x^{2} + 2 x$ .

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Step 1.1

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

$\frac{x \cdot x + 2 x}{- 4 x + 8}$

Step 1.2

Factor $x$ out of $2 x$ .

$\frac{x \cdot x + x \cdot 2}{- 4 x + 8}$

Step 1.3

Factor $x$ out of $x \cdot x + x \cdot 2$ .

$\frac{x (x + 2)}{- 4 x + 8}$

Step 2

Factor $4$ out of $- 4 x + 8$ .

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Step 2.1

Factor $4$ out of $- 4 x$ .

$\frac{x (x + 2)}{4 (- x) + 8}$

Step 2.2

Factor $4$ out of $8$ .

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

Step 2.3

Factor $4$ out of $4 (- x) + 4 (2)$ .

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

Step 3

Since no factors can be removed from the denominator, there are no holes in the graph.

No holes

Step 4