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

Question

1711 views around the world

You can reuse this answer
Creative Commons License

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#