Write the rational expression in simplest form. 2 x 2 y / x y − y

Question

Write the rational expression in simplest form.  2      x          2        y      /    x  y  −  y

sweetwisdomgw · Accepted Answer

2              x                  2                    y              x      y      −      y       factor y            2              x                  2                    y              y      (      x      −      1      )        =            2              x                  2                            x      −      1       notice, i crossed out y in both side

Joanna Mueller · Accepted Answer

2      x          2        y      /    (  x  y  −  y  )  =  2  ∗      x          2        ∗  y      /    y  ∗  (  x  −  1  )  ..................................[taking out y as thecommon factor in denominator]  =  2  ∗      x          2            /    (  x  −  1  )          ..................................[crossing y in bothnumerator and denominator]  =  2      x          2            /    (  x  −  1  )

Write the rational expression in simplest form. 2x^2 y/xy-y

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