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

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Answer 1 · 2017-12-07T23:18:16

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

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 $2xy$ to every term inside the parentheses

$2x^3y - 6xy^2 + 4xy$

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

$2x^3y + 4xy - 6xy^2$ $larr$ 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 $y^2$

Answer:

The expression in standard form is

$2x^3y + 4xy - 6xy^2$

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