Algebra Examples

$\frac{2}{3} m^{4} - \frac{5}{6} m^{6}$

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 $\frac{2}{3}$ and $m^{4}$ .

$\frac{2 m^{4}}{3} - \frac{5}{6} m^{6}$

Step 2.2

Combine $m^{6}$ and $\frac{5}{6}$ .

$\frac{2 m^{4}}{3} - \frac{m^{6} \cdot 5}{6}$

Step 2.3

Move $5$ to the left of $m^{6}$ .

$\frac{2 m^{4}}{3} - \frac{5 m^{6}}{6}$

Step 3

Reorder $\frac{2 m^{4}}{3}$ and $- \frac{5 m^{6}}{6}$ .

$- \frac{5 m^{6}}{6} + \frac{2 m^{4}}{3}$

Step 4

Reorder terms.

$- (\frac{5}{6} m^{6}) + \frac{2}{3} m^{4}$

Step 5

Remove parentheses.

$- \frac{5}{6} m^{6} + \frac{2}{3} m^{4}$