Algebra Examples

$π r^{2} - \frac{5}{7} r^{8} + 2 r^{5}$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

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Step 2.1

Combine $r^{8}$ and $\frac{5}{7}$ .

$π r^{2} - \frac{r^{8} \cdot 5}{7} + 2 r^{5}$

Step 2.2

Move $5$ to the left of $r^{8}$ .

$π r^{2} - \frac{5 r^{8}}{7} + 2 r^{5}$

Step 3

Move $π r^{2}$ .

$- \frac{5 r^{8}}{7} + 2 r^{5} + π r^{2}$

Step 4

Reorder terms.

$- (\frac{5}{7} r^{8}) + 2 r^{5} + π r^{2}$

Step 5

Remove parentheses.

$- \frac{5}{7} r^{8} + 2 r^{5} + π r^{2}$