Question 116073
{{{T=x/y}}}
{{{R=w/z}}}
{{{(xz+yw)/(yz-xw)=((1/y)(xz+yw))/((1/y)(yz-xw))}}}Multiply top and bottom by (1/y).
{{{(xz+yw)/(yz-xw)=((xz/y+yw/y))/((yz/y-xw/y))}}}Distributive property.
{{{(xz+yw)/(yz-xw)=((Tz+w))/((z-Tw))}}}Substitute and simplify.
{{{(xz+yw)/(yz-xw)=((1/z)(Tz+w))/((1/z)(z-Tw))}}}Multiply top and bottom by (1/z).
{{{(xz+yw)/(yz-xw)=((Tz/z+w/z))/((z/z-Tw/z))}}}Distributive property.
{{{(xz+yw)/(yz-xw)=((T+R))/((1-TR))}}}Substitute and simplify.