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Mathematics 18 Online
OpenStudy (anonymous):

please help me.. i'm answering algebraic fractions..

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

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 ???

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)

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

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?

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..

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