Algebra Examples

$\frac{7 x^{3} + 4 x^{2} + 2 x}{x^{2}}$

Step 1

Factor $x$ out of $7 x^{3} + 4 x^{2} + 2 x$ .

Tap for more steps...

Step 1.1

Factor $x$ out of $7 x^{3}$ .

$\frac{x (7 x^{2}) + 4 x^{2} + 2 x}{x^{2}}$

Step 1.2

Factor $x$ out of $4 x^{2}$ .

$\frac{x (7 x^{2}) + x (4 x) + 2 x}{x^{2}}$

Step 1.3

Factor $x$ out of $2 x$ .

$\frac{x (7 x^{2}) + x (4 x) + x \cdot 2}{x^{2}}$

Step 1.4

Factor $x$ out of $x (7 x^{2}) + x (4 x)$ .

$\frac{x (7 x^{2} + 4 x) + x \cdot 2}{x^{2}}$

Step 1.5

Factor $x$ out of $x (7 x^{2} + 4 x) + x \cdot 2$ .

$\frac{x (7 x^{2} + 4 x + 2)}{x^{2}}$

Step 2

Cancel the common factors.

Tap for more steps...

Step 2.1

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

$\frac{x (7 x^{2} + 4 x + 2)}{x \cdot x}$

Step 2.2

Cancel the common factor.

$\frac{x (7 x^{2} + 4 x + 2)}{x \cdot x}$

Step 2.3

Rewrite the expression.

$\frac{7 x^{2} + 4 x + 2}{x}$

Step 3

Split the fraction $\frac{7 x^{2} + 4 x + 2}{x}$ into two fractions.

$\frac{7 x^{2} + 4 x}{x} + \frac{2}{x}$

Step 4

Split the fraction $\frac{7 x^{2} + 4 x}{x}$ into two fractions.

$\frac{7 x^{2}}{x} + \frac{4 x}{x} + \frac{2}{x}$

Step 5

Cancel the common factor of $x^{2}$ and $x$ .

Tap for more steps...

Step 5.1

Factor $x$ out of $7 x^{2}$ .

$\frac{x (7 x)}{x} + \frac{4 x}{x} + \frac{2}{x}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

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

$\frac{x (7 x)}{x^{1}} + \frac{4 x}{x} + \frac{2}{x}$

Step 5.2.2

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

$\frac{x (7 x)}{x \cdot 1} + \frac{4 x}{x} + \frac{2}{x}$

Step 5.2.3

Cancel the common factor.

$\frac{x (7 x)}{x \cdot 1} + \frac{4 x}{x} + \frac{2}{x}$

Step 5.2.4

Rewrite the expression.

$\frac{7 x}{1} + \frac{4 x}{x} + \frac{2}{x}$

Step 5.2.5

Divide $7 x$ by $1$ .

$7 x + \frac{4 x}{x} + \frac{2}{x}$

Step 6

Cancel the common factor of $x$ .

Tap for more steps...

Step 6.1

Cancel the common factor.

$7 x + \frac{4 x}{x} + \frac{2}{x}$

Step 6.2

Divide $4$ by $1$ .

$7 x + 4 + \frac{2}{x}$