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

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

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Answer 1 · 2017-12-07T23:18:16

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

Explanation:

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

Write this polynomial in standard form
$2 x y (x^{2} - 3 y + 2)$ $2 x y (x^2 − 3 y + 2 )$

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

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

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

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

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

Answer:

The expression in standard form is

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

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

1 Answer

Explanation:

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What is the standard form of 2xy (x^2 -3y +2) 2xy(x2−3y+2) 2xy (x^2 -3y +2) ?

1 Answer

Explanation:

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