Question 85465
1) Multiply:
{{{((y^2-2y+1)/(y^2-1))((2y^2+y-1)/(5y-5))}}} You can often simplfy problems such as this by factoring the numerators and denominators, where possible, and canceling like-factors.
{{{(((y-1)(y-1))/(y+1)(y-1))(((2y-1)(y+1))/(5(y-1)))}}} Cancel like-factors.
{{{((cross((y-1))cross((y-1)))/(cross((y+1))cross((y-1))))(((2y-1)cross((y+1)))/(5*cross((y-1))))}}}...and you are left with:
{{{(2y-1)/5}}}

2) Divide:
{{{((8x+8y)/x^2)/((x^2-y^2)/x^2)}}} Simplify this to:
{{{((8x+8y)/x^2)*(x^2/(x^2-y^2))}}} Cancel the {{{x^2}}}'s leaving you with:
{{{(8x+8y)/(x^2-y^2)}}} Now factor the numerator and denominator and cancel like-factors.
{{{8cross((x+y))/cross((x+y))(x-y)}}}
{{{8/(x-y)}}}