Algebra Examples

$\frac{18 w z + 24 w z^{2}}{9 w^{2} z - 12 w z^{2}}$

Step 1

Factor $6 w z$ out of $18 w z + 24 w z^{2}$ .

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Step 1.1

Factor $6 w z$ out of $18 w z$ .

$\frac{6 w z (3) + 24 w z^{2}}{9 w^{2} z - 12 w z^{2}}$

Step 1.2

Factor $6 w z$ out of $24 w z^{2}$ .

$\frac{6 w z (3) + 6 w z (4 z)}{9 w^{2} z - 12 w z^{2}}$

Step 1.3

Factor $6 w z$ out of $6 w z (3) + 6 w z (4 z)$ .

$\frac{6 w z (3 + 4 z)}{9 w^{2} z - 12 w z^{2}}$

Step 2

Factor $3 w z$ out of $9 w^{2} z - 12 w z^{2}$ .

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Step 2.1

Factor $3 w z$ out of $9 w^{2} z$ .

$\frac{6 w z (3 + 4 z)}{3 w z (3 w) - 12 w z^{2}}$

Step 2.2

Factor $3 w z$ out of $- 12 w z^{2}$ .

$\frac{6 w z (3 + 4 z)}{3 w z (3 w) + 3 w z (- 4 z)}$

Step 2.3

Factor $3 w z$ out of $3 w z (3 w) + 3 w z (- 4 z)$ .

$\frac{6 w z (3 + 4 z)}{3 w z (3 w - 4 z)}$

Step 3

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

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Step 3.1

Factor $3$ out of $6 w z (3 + 4 z)$ .

$\frac{3 (2 w z (3 + 4 z))}{3 w z (3 w - 4 z)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $3 w z (3 w - 4 z)$ .

$\frac{3 (2 w z (3 + 4 z))}{3 (w z (3 w - 4 z))}$

Step 3.2.2

Cancel the common factor.

$\frac{3 (2 w z (3 + 4 z))}{3 (w z (3 w - 4 z))}$

Step 3.2.3

Rewrite the expression.

$\frac{2 w z (3 + 4 z)}{w z (3 w - 4 z)}$

Step 4

Cancel the common factor of $w$ .

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Step 4.1

Cancel the common factor.

$\frac{2 w z (3 + 4 z)}{w z (3 w - 4 z)}$

Step 4.2

Rewrite the expression.

$\frac{2 z (3 + 4 z)}{z (3 w - 4 z)}$

Step 5

Cancel the common factor of $z$ .

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Step 5.1

Cancel the common factor.

$\frac{2 z (3 + 4 z)}{z (3 w - 4 z)}$

Step 5.2

Rewrite the expression.

$\frac{2 (3 + 4 z)}{3 w - 4 z}$