Algebra Examples

$x y^{2} - 2 x^{2} y + 3 y^{3} - 6 x^{2} y + 4 x y^{2}$

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

Add $x y^{2}$ and $4 x y^{2}$ .

$- 2 x^{2} y + 3 y^{3} - 6 x^{2} y + 5 x y^{2}$

Step 3

Subtract $6 x^{2} y$ from $- 2 x^{2} y$ .

$3 y^{3} - 8 x^{2} y + 5 x y^{2}$

Step 4

Move $3 y^{3}$ .

$- 8 x^{2} y + 5 x y^{2} + 3 y^{3}$