Algebra Examples

$\frac{x + 3 x^{2} y}{3 x y + 1}$

Step 1

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

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Step 1.1

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

$\frac{x^{1} + 3 x^{2} y}{3 x y + 1}$

Step 1.2

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

$\frac{x \cdot 1 + 3 x^{2} y}{3 x y + 1}$

Step 1.3

Factor $x$ out of $3 x^{2} y$ .

$\frac{x \cdot 1 + x (3 x y)}{3 x y + 1}$

Step 1.4

Factor $x$ out of $x \cdot 1 + x (3 x y)$ .

$\frac{x (1 + 3 x y)}{3 x y + 1}$

Step 2

Cancel the common factor of $1 + 3 x y$ and $3 x y + 1$ .

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Step 2.1

Reorder terms.

$\frac{x (3 x y + 1)}{3 x y + 1}$

Step 2.2

Cancel the common factor.

$\frac{x (3 x y + 1)}{3 x y + 1}$

Step 2.3

Divide $x$ by $1$ .

$x$