Algebra Examples

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

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

Combine $\frac{2}{3}$ and $a$ .

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

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Move $\frac{2 a}{3}$ .

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

Step 3.2

Move $5 a^{3}$ .

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

Step 3.3

Reorder $4 a^{4}$ and $- 2 a^{5}$ .

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

Step 4

Reorder terms.

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