Mathematics
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OpenStudy (anonymous):
(x-y)(x²-2xy+y²) please help simplify
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OpenStudy (anonymous):
|dw:1384879349616:dw|
OpenStudy (anonymous):
is that right?
OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@jdoe0001 @OrionsBelt
OpenStudy (anonymous):
vishnu can u help me
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OpenStudy (anonymous):
you just distritube, and i already did that. i just wanna know if its right, and then i need to combine like terms.
OpenStudy (ranga):
Your second and fourth terms are off. The rest are correct.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
no wonder..
OpenStudy (anonymous):
can someone help me thru the rest of the problem
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OpenStudy (anonymous):
so for the 2nd term, is it -2x^2y?
OpenStudy (ranga):
yes.
OpenStudy (anonymous):
and the 4th one?
OpenStudy (raden):
(x-y)(x^2 - 2xy + y^2)
= x(x^2 - 2xy + y^2) - y(x^2 - 2xy + y^2)
= x^3 - 2x^2y + xy^2 -x^2y + 2xy^2 - y^3
= x^3 - 3x^2y + 3xy^2 - y^3
alternative :
remember that x^2 - 2xy + y^2 = (x-y)^2
so,
(x-y)(x²-2xy+y²) = (x-y)(x-y)^2 = (x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3
OpenStudy (ranga):
fourth term is -x^2y
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OpenStudy (anonymous):
oh
OpenStudy (anonymous):
wait thats what i wrote..
OpenStudy (ranga):
exponent 2 is missing in the fourth term.
OpenStudy (anonymous):
oh nvm
OpenStudy (anonymous):
thats what i wrote on my paper, i just made a typo on the drawing up there^
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OpenStudy (ranga):
ok.
OpenStudy (anonymous):
|dw:1384880120847:dw|
OpenStudy (anonymous):
yea i just forgot the 2. thanks
OpenStudy (ranga):
change the second term to -2x^2y too. Then combine the like terms.
OpenStudy (anonymous):
i did. thanks
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OpenStudy (ranga):
you are welcome.