Algebra Examples

$\frac{2}{6} x^{2} y^{2} + \frac{4}{9} x^{3} y z + \frac{8}{15} x y w$

Step 1

Remove parentheses.

$\frac{2}{6} \cdot x^{2} y^{2} + \frac{4}{9} \cdot (x^{3} y z) + \frac{8}{15} \cdot (x y w)$

Step 2

Remove parentheses.

$\frac{2}{6} \cdot x^{2} y^{2} + \frac{4}{9} \cdot (x^{3} y) z + \frac{8}{15} \cdot (x y w)$

Step 3

Remove parentheses.

$\frac{2}{6} \cdot x^{2} y^{2} + \frac{4}{9} \cdot x^{3} y z + \frac{8}{15} \cdot (x y w)$

Step 4

Remove parentheses.

$\frac{2}{6} \cdot x^{2} y^{2} + \frac{4}{9} \cdot x^{3} y z + \frac{8}{15} \cdot (x y) w$

Step 5

Remove parentheses.

$\frac{2}{6} \cdot x^{2} y^{2} + \frac{4}{9} \cdot x^{3} y z + \frac{8}{15} \cdot x y w$

Step 6

Factor $x y$ out of $\frac{2}{6} \cdot x^{2} y^{2} + \frac{4}{9} \cdot x^{3} y z + \frac{8}{15} \cdot x y w$ .

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Step 6.1

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

$x y (\frac{2}{6} \cdot x y) + \frac{4}{9} \cdot x^{3} y z + \frac{8}{15} \cdot x y w$

Step 6.2

Factor $x y$ out of $\frac{4}{9} \cdot x^{3} y z$ .

$x y (\frac{2}{6} \cdot x y) + x y (\frac{4}{9} \cdot x^{2} z) + \frac{8}{15} \cdot x y w$

Step 6.3

Factor $x y$ out of $\frac{8}{15} \cdot x y w$ .

$x y (\frac{2}{6} \cdot x y) + x y (\frac{4}{9} \cdot x^{2} z) + x y (\frac{8}{15} w)$

Step 6.4

Factor $x y$ out of $x y (\frac{2}{6} \cdot x y) + x y (\frac{4}{9} \cdot x^{2} z)$ .

$x y (\frac{2}{6} \cdot x y + \frac{4}{9} \cdot x^{2} z) + x y (\frac{8}{15} w)$

Step 6.5

Factor $x y$ out of $x y (\frac{2}{6} \cdot x y + \frac{4}{9} \cdot x^{2} z) + x y (\frac{8}{15} w)$ .

$x y (\frac{2}{6} \cdot x y + \frac{4}{9} \cdot x^{2} z + \frac{8}{15} w)$

Step 7

Combine exponents.

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Step 7.1

Combine $\frac{2}{6}$ and $x$ .

$x y (\frac{2 x}{6} y + \frac{4}{9} \cdot x^{2} z + \frac{8}{15} w)$

Step 7.2

Combine $\frac{2 x}{6}$ and $y$ .

$x y (\frac{2 x y}{6} + \frac{4}{9} \cdot x^{2} z + \frac{8}{15} w)$

Step 7.3

Combine $\frac{4}{9}$ and $x^{2}$ .

$x y (\frac{2 x y}{6} + \frac{4 x^{2}}{9} z + \frac{8}{15} w)$

Step 7.4

Combine $\frac{4 x^{2}}{9}$ and $z$ .

$x y (\frac{2 x y}{6} + \frac{4 x^{2} z}{9} + \frac{8}{15} w)$

Step 7.5

Combine $\frac{8}{15}$ and $w$ .

$x y (\frac{2 x y}{6} + \frac{4 x^{2} z}{9} + \frac{8 w}{15})$