Philip P. answered 01/10/16
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(y2+y)/(y+yx2)
= y(y+1)/y(1+x2)
Canceling the y's in the numerator and denominator:
= (y+1)/(x2+1)
Note that y cannot equal zero (y≠0) since it would make the denominator of the original expression equal zero, which is undefined.