Algebra Examples

$\frac{2 y - 6 x}{3 x}$

Step 1

Factor $2$ out of $2 y - 6 x$ .

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Step 1.1

Factor $2$ out of $2 y$ .

$\frac{2 (y) - 6 x}{3 x}$

Step 1.2

Factor $2$ out of $- 6 x$ .

$\frac{2 (y) + 2 (- 3 x)}{3 x}$

Step 1.3

Factor $2$ out of $2 (y) + 2 (- 3 x)$ .

$\frac{2 (y - 3 x)}{3 x}$

$\frac{2 (y - 3 x)}{3 x}$

Step 2

Apply the distributive property.

$\frac{2 y + 2 (- 3 x)}{3 x}$

Step 3

Multiply $- 3$ by $2$ .

$\frac{2 y - 6 x}{3 x}$

Step 4

Split the fraction $\frac{2 y - 6 x}{3 x}$ into two fractions.

$\frac{2 y}{3 x} + \frac{- 6 x}{3 x}$

Step 5

Cancel the common factor of $- 6$ and $3$ .

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Step 5.1

Factor $3$ out of $- 6 x$ .

$\frac{2 y}{3 x} + \frac{3 (- 2 x)}{3 x}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $3 x$ .

$\frac{2 y}{3 x} + \frac{3 (- 2 x)}{3 (x)}$

Step 5.2.2

Cancel the common factor.

$\frac{2 y}{3 x} + \frac{3 (- 2 x)}{3 x}$

Step 5.2.3

Rewrite the expression.

$\frac{2 y}{3 x} + \frac{- 2 x}{x}$

$\frac{2 y}{3 x} + \frac{- 2 x}{x}$

$\frac{2 y}{3 x} + \frac{- 2 x}{x}$

Step 6

Cancel the common factor of $x$ .

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Step 6.1

Cancel the common factor.

$\frac{2 y}{3 x} + \frac{- 2 x}{x}$

Step 6.2

Divide $- 2$ by $1$ .

$\frac{2 y}{3 x} - 2$

$\frac{2 y}{3 x} - 2$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$