Simplification of rational expressionsI have the following expression: 2 x − 2 + 2 x 2 − 5 x + 6 So I can simplify this as: 2 x − 2 + 2 ( x − 3 ) ( x − 2 ) I make the common denominator to be ( x − 3 ) ( x − 2 ) So I then apply ( x − 3 ) to the left hand side which gives me: 2 ( x − 3 ) + 2 ( x − 3 ) ( x − 2 ) I have clearly taken a wrong step because the answer in the book to the original expression is 2 x − 3 so I'm not sure how that answer was arrived at.

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Simplification of rational expressionsI have the following expression:            2              x        −        2              +            2                                    x            2                          −        5        x        +        6            So I can simplify this as:            2              x        −        2              +            2              (        x        −        3        )        (        x        −        2        )            I make the common denominator to be       (    x    −    3    )    (    x    −    2    )  So I then apply       (    x    −    3    )    to the left hand side which gives me:                    2        (        x        −        3        )        +        2                    (        x        −        3        )        (        x        −        2        )            I have clearly taken a wrong step because the answer in the book to the original expression is             2              x        −        3             so I&#039;m not sure how that answer was arrived at.

zlepljalz2 · Accepted Answer

You did nothing wrong. Note that the numerator can be written as  2  (  x  −  3  )  +  2  =  2  x  −  6  +  2  =  2  x  −  4  =  2  (  x  −  2  )  .

aangenaamyj · Accepted Answer

Notice, the following steps      2          x      −      2        +      2                  x        2            −      5      x      +      6        =  2      (          1              x        −        2              +          1              (        x        −        2        )        (        x        −        3        )              )    =      2          x      −      2            (    1    +          1              x        −        3              )    =      2          x      −      2            (                  x        −        3        +        1                    x        −        3              )    =      2          x      −      2            (                  x        −        2                    x        −        3              )    =      2          x      −      3      Your book has the correct expression.

Simplification of rational expressions I have the following expression: <mrow class="MJX-TeXA

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