anonymous
  • anonymous
A wooden garden tray with a base area of xy square inches is filled with soil up to a certain height. The tray contains (3xy + x2y2 + x3y2) cubic inches of soil. The height of the tray is represented by the expression. Picture is attached! :) Which expression below is the correct simplified form of the height of the tray?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
1 Attachment
jim_thompson5910
  • jim_thompson5910
Hint: factor out xy from the numerator
anonymous
  • anonymous
how do I do that? @jim_thompson5910

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More answers

jim_thompson5910
  • jim_thompson5910
write each term in the numerator as something of this form xy*____
jim_thompson5910
  • jim_thompson5910
so x^2*y^2 turns into xy*____ fill in that blank
anonymous
  • anonymous
hhmmmm
anonymous
  • anonymous
xy^4?
jim_thompson5910
  • jim_thompson5910
x times ____ = x^2 what goes in the blank
anonymous
  • anonymous
2?
anonymous
  • anonymous
no x * x
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
now fill in this blank x^2*y^2 = xy*_____
anonymous
  • anonymous
xy?
jim_thompson5910
  • jim_thompson5910
yep
anonymous
  • anonymous
yay lol
jim_thompson5910
  • jim_thompson5910
x^3y^2 = xy*____ fill in that blank
anonymous
  • anonymous
xy^2?
jim_thompson5910
  • jim_thompson5910
no
anonymous
  • anonymous
xy^ 3?
jim_thompson5910
  • jim_thompson5910
x*_____ = x^3 y*_____ = y^2
anonymous
  • anonymous
x * x^2?
anonymous
  • anonymous
and y * y?
jim_thompson5910
  • jim_thompson5910
x^3y^2 = xy*____
anonymous
  • anonymous
so x^2y?
jim_thompson5910
  • jim_thompson5910
yep
jim_thompson5910
  • jim_thompson5910
3xy is the same as xy*3
jim_thompson5910
  • jim_thompson5910
so 3xy + x^2y^2 + x^3y^2 turns into xy*3 + xy*xy + xy*x^2y
jim_thompson5910
  • jim_thompson5910
now you use the distributive property to factor out the common term of xy which means xy*3 + xy*xy + xy*x^2y becomes xy(3 + xy + x^2y)
jim_thompson5910
  • jim_thompson5910
if you were to distribute it back through and multiply, you would get 3xy + x^2y^2 + x^3y^2 back again
jim_thompson5910
  • jim_thompson5910
so why did I have you factor out xy ?
anonymous
  • anonymous
I have no idea lol
jim_thompson5910
  • jim_thompson5910
well 2 reasons a) we were able to b) the denominator has xy and ideally we want to cancel out the entire denominator with a matching term in the numerator (to make things as simple as possible)
jim_thompson5910
  • jim_thompson5910
the xy in the numerator and denominator cancel leaving us with 1(3 + xy + x^2y) --------------- 1 but that's the same as 3 + xy + x^2y
jim_thompson5910
  • jim_thompson5910
so that's the height
anonymous
  • anonymous
oh okay thanks alot for your help I understand now
jim_thompson5910
  • jim_thompson5910
you're welcome
anonymous
  • anonymous
=D medal 4 u lol
jim_thompson5910
  • jim_thompson5910
thx lol
anonymous
  • anonymous
wow u have ALOT of fans
jim_thompson5910
  • jim_thompson5910
hmm i guess so, but it's from over a long time
anonymous
  • anonymous
:P well cya laterz
jim_thompson5910
  • jim_thompson5910
you too

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