Basic Algebra combining exponent fractions/simplifying (George F Simmons "Precalculus in Nutshell")From George F. Simmons 'Precalculus' book, Algebra section, 5(d); Combine and Simplify x x y 2 + y x 2 y Combine: = x ( x 2 y ) + y ( x y 2 ) ( x y 2 ) ( x 2 y ) Simplify: = x ( x 2 y ) + y ( x y 2 ) x y ( x 2 y 2 ) The given answer, which I can't figure out how he arrives at it is: x 2 + y 2 x 2 y 2

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Basic Algebra combining exponent fractions/simplifying (George F Simmons &quot;Precalculus in Nutshell&quot;)From George F. Simmons &#039;Precalculus&#039; book, Algebra section, 5(d); Combine and Simplify      x          x              y        2              +      y                  x        2            y      Combine: =            x      (              x        2            y      )      +      y      (      x              y        2            )              (      x              y        2            )      (              x        2            y      )      Simplify: =            x      (              x        2            y      )      +      y      (      x              y        2            )              x      y      (              x        2                    y        2            )      The given answer, which I can&#039;t figure out how he arrives at it is:                    x        2            +              y        2                            x        2                    y        2

victorollaa5 · Accepted Answer

x          x              y        2              +      y                  x        2            y        =      x    x    ⋅      x          x              y        2              +      y    y    ⋅      y                  x        2            y        =            x      ⋅      x              x              y        2            ⋅      x        +            y      ⋅      y                      x        2            y      ⋅      y        =            x      2                      x        2                    y        2              +            y      2                      x        2                    y        2              =                    x        2            +              y        2                            x        2                    y        2

kokoszzm · Accepted Answer

We have:             x              x                  y                      2                                +            y                        x                      2                          y              =                    x        (                  x                      2                          y        )        +        y        (        x                  y                      2                          )                    (        x                  y                      2                          )        (                  x                      2                          y        )              =                    x        (                  x                      2                          y        )        +        y        (        x                  y                      2                          )                    x        y        (                  x                      2                                    y                      2                          )            This is where you got stuck, but there is not much left to do to arrive at that result.  =                              x                      3                          y        +                  y                      3                          x                    x        y        (                  x                      2                                    y                      2                          )              =                    x        y        (                  x                      2                          +                  y                      2                          )                    x        y        (                  x                      2                                    y                      2                          )              =                              x                      2                          +                  y                      2                                                x                      2                                    y                      2

Basic Algebra combining exponent fractions/simplifying (George F Simmons "Precalculus in Nutshell")

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