Algebra Examples

$\frac{2 - 3 x}{6 x^{2} y} + \frac{2 x + 1}{6 x^{2} y} + \frac{2 x - 3}{6 x^{2} y}$

Step 1

Combine the numerators over the common denominator.

$\frac{2 - 3 x + 2 x + 1 + 2 x - 3}{6 x^{2} y}$

Step 2

Add $2$ and $1$ .

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

Step 3

Combine the opposite terms in $- 3 x + 2 x + 3 + 2 x - 3$ .

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Step 3.1

Subtract $3$ from $3$ .

$\frac{- 3 x + 2 x + 2 x + 0}{6 x^{2} y}$

Step 3.2

Add $- 3 x + 2 x + 2 x$ and $0$ .

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

Step 4

Add $- 3 x$ and $2 x$ .

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

Step 5

Add $- x$ and $2 x$ .

$\frac{x}{6 x^{2} y}$

Step 6

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

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Step 6.1

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

$\frac{x^{1}}{6 x^{2} y}$

Step 6.2

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

$\frac{x \cdot 1}{6 x^{2} y}$

Step 6.3

Cancel the common factors.

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Step 6.3.1

Factor $x$ out of $6 x^{2} y$ .

$\frac{x \cdot 1}{x (6 x y)}$

Step 6.3.2

Cancel the common factor.

$\frac{x \cdot 1}{x (6 x y)}$

Step 6.3.3

Rewrite the expression.

$\frac{1}{6 x y}$