Algebra Examples

$\frac{99 w^{3} x^{4} - 81 x^{2} + 63 w}{- 9 w x}$

Step 1

Cancel the common factor of $99 w^{3} x^{4} - 81 x^{2} + 63 w$ and $- 9$ .

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Step 1.1

Factor $9$ out of $99 w^{3} x^{4}$ .

$\frac{9 (11 w^{3} x^{4}) - 81 x^{2} + 63 w}{- 9 w x}$

Step 1.2

Factor $9$ out of $- 81 x^{2}$ .

$\frac{9 (11 w^{3} x^{4}) + 9 (- 9 x^{2}) + 63 w}{- 9 w x}$

Step 1.3

Factor $9$ out of $9 (11 w^{3} x^{4}) + 9 (- 9 x^{2})$ .

$\frac{9 (11 w^{3} x^{4} - 9 x^{2}) + 63 w}{- 9 w x}$

Step 1.4

Factor $9$ out of $63 w$ .

$\frac{9 (11 w^{3} x^{4} - 9 x^{2}) + 9 (7 w)}{- 9 w x}$

Step 1.5

Factor $9$ out of $9 (11 w^{3} x^{4} - 9 x^{2}) + 9 (7 w)$ .

$\frac{9 (11 w^{3} x^{4} - 9 x^{2} + 7 w)}{- 9 w x}$

Step 1.6

Cancel the common factors.

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Step 1.6.1

Factor $9$ out of $- 9 w x$ .

$\frac{9 (11 w^{3} x^{4} - 9 x^{2} + 7 w)}{9 (- w x)}$

Step 1.6.2

Cancel the common factor.

$\frac{9 (11 w^{3} x^{4} - 9 x^{2} + 7 w)}{9 (- w x)}$

Step 1.6.3

Rewrite the expression.

$\frac{11 w^{3} x^{4} - 9 x^{2} + 7 w}{- w x}$

Step 2

Move the negative in front of the fraction.

$- \frac{11 w^{3} x^{4} - 9 x^{2} + 7 w}{w x}$

Step 3

Split the fraction $\frac{11 w^{3} x^{4} - 9 x^{2} + 7 w}{w x}$ into two fractions.

$- (\frac{11 w^{3} x^{4} - 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 4

Split the fraction $\frac{11 w^{3} x^{4} - 9 x^{2}}{w x}$ into two fractions.

$- (\frac{11 w^{3} x^{4}}{w x} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 5

Cancel the common factor of $w^{3}$ and $w$ .

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Step 5.1

Factor $w$ out of $11 w^{3} x^{4}$ .

$- (\frac{w (11 w^{2} x^{4})}{w x} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $w$ out of $w x$ .

$- (\frac{w (11 w^{2} x^{4})}{w (x)} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 5.2.2

Cancel the common factor.

$- (\frac{w (11 w^{2} x^{4})}{w x} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 5.2.3

Rewrite the expression.

$- (\frac{11 w^{2} x^{4}}{x} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 6

Cancel the common factor of $x^{4}$ and $x$ .

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Step 6.1

Factor $x$ out of $11 w^{2} x^{4}$ .

$- (\frac{x (11 w^{2} x^{3})}{x} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 6.2

Cancel the common factors.

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Step 6.2.1

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

$- (\frac{x (11 w^{2} x^{3})}{x^{1}} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 6.2.2

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

$- (\frac{x (11 w^{2} x^{3})}{x \cdot 1} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 6.2.3

Cancel the common factor.

$- (\frac{x (11 w^{2} x^{3})}{x \cdot 1} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 6.2.4

Rewrite the expression.

$- (\frac{11 w^{2} x^{3}}{1} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 6.2.5

Divide $11 w^{2} x^{3}$ by $1$ .

$- (11 w^{2} x^{3} + \frac{- 9 x^{2}}{w x} + \frac{7 w}{w x})$

Step 7

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

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Step 7.1

Factor $x$ out of $- 9 x^{2}$ .

$- (11 w^{2} x^{3} + \frac{x (- 9 x)}{w x} + \frac{7 w}{w x})$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $x$ out of $w x$ .

$- (11 w^{2} x^{3} + \frac{x (- 9 x)}{x w} + \frac{7 w}{w x})$

Step 7.2.2

Cancel the common factor.

$- (11 w^{2} x^{3} + \frac{x (- 9 x)}{x w} + \frac{7 w}{w x})$

Step 7.2.3

Rewrite the expression.

$- (11 w^{2} x^{3} + \frac{- 9 x}{w} + \frac{7 w}{w x})$

Step 8

Move the negative in front of the fraction.

$- (11 w^{2} x^{3} - \frac{9 x}{w} + \frac{7 w}{w x})$

Step 9

Cancel the common factor of $w$ .

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Step 9.1

Cancel the common factor.

$- (11 w^{2} x^{3} - \frac{9 x}{w} + \frac{7 w}{w x})$

Step 9.2

Rewrite the expression.

$- (11 w^{2} x^{3} - \frac{9 x}{w} + \frac{7}{x})$