Algebra Examples

$\frac{1}{3} x^{2} y^{3} z^{4} - \frac{1}{12} x^{3} y z^{2}$

Step 1

Remove parentheses.

$\frac{1}{3} \cdot (x^{2} y^{3}) z^{4} - \frac{1}{12} \cdot (x^{3} y z^{2})$

Step 2

Remove parentheses.

$\frac{1}{3} \cdot x^{2} y^{3} z^{4} - \frac{1}{12} \cdot (x^{3} y z^{2})$

Step 3

Remove parentheses.

$\frac{1}{3} \cdot x^{2} y^{3} z^{4} - \frac{1}{12} \cdot (x^{3} y) z^{2}$

Step 4

Remove parentheses.

$\frac{1}{3} \cdot x^{2} y^{3} z^{4} - \frac{1}{12} \cdot x^{3} y z^{2}$

Step 5

Factor $x^{2} y z^{2}$ out of $\frac{1}{3} \cdot x^{2} y^{3} z^{4} - \frac{1}{12} \cdot x^{3} y z^{2}$ .

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Step 5.1

Factor $x^{2} y z^{2}$ out of $\frac{1}{3} \cdot x^{2} y^{3} z^{4}$ .

$x^{2} y z^{2} (\frac{1}{3} y^{2} z^{2}) - \frac{1}{12} \cdot x^{3} y z^{2}$

Step 5.2

Factor $x^{2} y z^{2}$ out of $- \frac{1}{12} \cdot x^{3} y z^{2}$ .

$x^{2} y z^{2} (\frac{1}{3} y^{2} z^{2}) + x^{2} y z^{2} (- \frac{1}{12} \cdot x)$

Step 5.3

Factor $x^{2} y z^{2}$ out of $x^{2} y z^{2} (\frac{1}{3} y^{2} z^{2}) + x^{2} y z^{2} (- \frac{1}{12} \cdot x)$ .

$x^{2} y z^{2} (\frac{1}{3} y^{2} z^{2} - \frac{1}{12} \cdot x)$

Step 6

Combine exponents.

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Step 6.1

Combine $\frac{1}{3}$ and $y^{2}$ .

$x^{2} y z^{2} (\frac{y^{2}}{3} z^{2} - \frac{1}{12} \cdot x)$

Step 6.2

Combine $\frac{y^{2}}{3}$ and $z^{2}$ .

$x^{2} y z^{2} (\frac{y^{2} z^{2}}{3} - \frac{1}{12} \cdot x)$

Step 6.3

Combine $x$ and $\frac{1}{12}$ .

$x^{2} y z^{2} (\frac{y^{2} z^{2}}{3} - \frac{x}{12})$