Algebra Examples

$27 p^{3} - \frac{1}{216} - \frac{9}{2} p^{2} + \frac{1}{4} p$

Step 1

Combine $p^{2}$ and $\frac{9}{2}$ .

$27 p^{3} - \frac{1}{216} - \frac{p^{2} \cdot 9}{2} + \frac{1}{4} p$

Step 2

Move $9$ to the left of $p^{2}$ .

$27 p^{3} - \frac{1}{216} - \frac{9 \cdot p^{2}}{2} + \frac{1}{4} p$

Step 3

Multiply $9$ by $p^{2}$ .

$27 p^{3} - \frac{1}{216} - \frac{9 p^{2}}{2} + \frac{1}{4} p$

Step 4

Combine $\frac{1}{4}$ and $p$ .

$27 p^{3} - \frac{1}{216} - \frac{9 p^{2}}{2} + \frac{p}{4}$

Step 5

Reorder terms.

$27 p^{3} - \frac{9 p^{2}}{2} + \frac{p}{4} - \frac{1}{216}$

Step 6

Factor $\frac{1}{4}$ out of each term.

$\frac{1}{4} (108 p^{3} - 18 p^{2} + p - \frac{1}{54})$