# What is the standard form of  2xy (x^2 -3y +2) ?

Dec 7, 2017

In standard form the expression is writtens $2 {x}^{3} y + 4 x y - 6 x {y}^{2}$

#### Explanation:

In standard form, the powers of $x$ decrease from one term to the next, but the powers of $y$ increase -- as far as possible.

Write this polynomial in standard form
2 x y (x^2 − 3 y + 2 )

1) Clear the parentheses by distributing the $2 x y$ to every term inside the parentheses

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

2) Rearrange the terms into standard order.
Bring the signs of the terms with you when you rearrange them.

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

The powers of $x$ decreased from ${x}^{3}$ to ${x}^{1}$ to another ${x}^{1.}$
Meanwhile, the powers of $y$ went up from ${y}^{1}$ to ${y}^{1}$ (again) to ${y}^{2}$

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