## anonymous one year ago Rational expressions 15xy/x^2-y^2 - X-Y/X+Y

1. anonymous

@sammixboo @whpalmer4 @Nnesha @peachpi

2. Nnesha

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

3. Nnesha

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

4. Nnesha

3rd) cancel some stuff 4th) done!

5. anonymous

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

6. anonymous

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

7. Nnesha

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

8. Nnesha

difference of square^

9. anonymous

(x+y)(x-y)?

10. Nnesha

yes right!

11. Nnesha

now find common factor

12. Nnesha

$\huge\rm \frac{ 15xy - (x-y)(x+y)}{ (x+y)(x-y) }$ 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

13. Nnesha

got it ??

14. Nnesha

now just solve the numerator