Mathematics
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OpenStudy (anonymous):
please help me.. i'm answering algebraic fractions..
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OpenStudy (anonymous):
you have to post your question first =p
OpenStudy (anonymous):
\[[(x ^{2}-y ^{2})/x ^{3}-y ^{3}] \div [(x+y)/x]\]
jhonyy9 (jhonyy9):
the first term equal 1
1/(x+y)/x = 1 * x/(x+y) = x/(x+y)
OpenStudy (anonymous):
how did you get it?
jhonyy9 (jhonyy9):
x2 -y2
------ =1
x2 -y2
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jhonyy9 (jhonyy9):
or the denominator is x3-y3 ???
OpenStudy (anonymous):
yes
jhonyy9 (jhonyy9):
so than you can write this like (x-y)(x2+xy+y2)
jhonyy9 (jhonyy9):
and will get (x-y)(x+y)/(x-y)(x2+xy+y2)
jhonyy9 (jhonyy9):
what will be equal (x+y)/(x2+xy+y2)
and this you need divide by (x+y)/x
yes ???
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jhonyy9 (jhonyy9):
so than because you know that when we need divide two fractions this is equal the first fraction multiply by second inversed
jhonyy9 (jhonyy9):
yes ?
jhonyy9 (jhonyy9):
hence we get
(x+y)/(x2+xy+y2) * x/(x+y)
jhonyy9 (jhonyy9):
right ???
jhonyy9 (jhonyy9):
but you can simplify again by (x+y) and will get like result x/(x2+xy+y2)
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jhonyy9 (jhonyy9):
hope so much that you have understood it all
jhonyy9 (jhonyy9):
yes :::
jhonyy9 (jhonyy9):
???
jhonyy9 (jhonyy9):
so than please push the good answer button
jhonyy9 (jhonyy9):
thank you
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OpenStudy (anonymous):
ii can't really understand it :(
jhonyy9 (jhonyy9):
why ???
jhonyy9 (jhonyy9):
what you cant understanding ?
jhonyy9 (jhonyy9):
this is very easy
OpenStudy (anonymous):
is the answer (x+y)/x?
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jhonyy9 (jhonyy9):
not is x/x2+xy+y2
jhonyy9 (jhonyy9):
(x+y) is simplified
OpenStudy (anonymous):
can you please show me how you solved it? i'm really sorry i'm very bad at math..