Question 91861
Simplify:
{{{((x-y)/(x+y))+((x+y)/(x-y))}}} I hope I have this right! Add the two fractions. The LCD is {{{(x+y)(x-y)}}}
{{{(highlight((x-y)(x-y))+highlight((x+y)(x+y)))/highlight((x+y)(x-y))}}} Do you see how we get this? Now perform the indicated multiplications.
{{{(highlight((x^2-2xy+y^2))+highlight((x^2+2xy+y^2)))/highlight((x^2-y^2))}}} Simplify by combining like-terms.
{{{(2x^2+2y^2)/((x^2-y^2))}}} Factor the 2 in the numerator.
{{{2((x^2+y^2)/(x^2-y^2))}}}...and this is as far as we can go!