Rational expressions 15xy/x^2-y^2 - X-Y/X+Y

Question

anonymous · Answer

@sammixboo @whpalmer4 @Nnesha @peachpi

nnesha · Answer

$$\huge\rm \frac{ 15xy }{ x^2-y^2} - \frac{ x-y }{ x+y }$$
like this ?

nnesha · Answer

if yes 
remember difference of square $$\huge\rm a^2 -b^2 = (a+b)(a-b)$$
2nd step ) find common denominator

nnesha · Answer

3rd) cancel some stuff
4th) done!

anonymous · Answer

@Nnesha Can you show a step by step i've been stuck for hours

anonymous · Answer

@Nnesha Can you show a step by step i've been stuck for hours

nnesha · Answer

oky  i have 5 mints let's see :-)
so x ^2 - y^2 = ???

nnesha · Answer

difference of square^

anonymous · Answer

(x+y)(x-y)?

nnesha · Answer

yes right!

nnesha · Answer

now find common factor

nnesha · Answer

$$\huge\rm \frac{ 15xy - (x-y)(x+y)}{ (x+y)(x-y) }$$
now solve 
x+y are same at both denominator so just write on time  and x-y is a common denominator 
multiply top part with( x+y)
denominator of first fraction is same as common denominator so t 15xy stay same

nnesha · Answer

got it ??

nnesha · Answer

now just solve the numerator