Simplify the expression. − 2 ( x 2 − 3 ) 3 ∗ 2 x ( x + 1 ) 3 − 3 ( x + 1 ) 2 ∗ 1 ( x 2 − 3 ) 2 [ ( x + 1 ) 3 ] 2 ( 6 x + 1 ) 2 [ ( 27 x 2 + 2 ) ( 6 x + 1 ) − 162 x 3 − 36 x ] ( 6 x + 1 ) 6

Question

Simplify the expression.                              −          2                          (                      x                          2                                −          3                      )                          3                                          ∗      2      x      (      x      +      1              )                  3                    −      3      (      x      +      1              )                  2                    ∗              1                  (                      x                          2                                −          3                      )                          2                                                  [      (      x      +      1              )                  3                            ]                  2                                (      6      x      +      1              )                  2                    [      (      27              x                  2                    +      2      )      (      6      x      +      1      )      −      162              x                  3                    −      36      x      ]              (      6      x      +      1              )                  6

pelvogp · Accepted Answer

1) Rewrite the expression.                              −          2                          (                      x                          2                                −          3                      )                          3                                          ∗      2      x      (      x      +      1              )                  3                    −      3      (      x      +      1              )                  2                    ∗              1                  (                      x                          2                                −          3                      )                          2                                                  [      (      x      +      1              )                  3                            ]                  2                    Simplify.            −      4      x      (      x      +      1              )                  3                    −      3      (      x      +      1              )                  2                    (              x                  2                    −      3      )              (      x      +      1              )                  6                    (              x                  2                    −      3              )                  3                      =            (      x      +      1              )                  2                    [      −      4      x      (      x      +      1      )      −      3      (              x                  2                    −      3      )      ]              (      x      +      1              )                  6                    (              x                  2                    −      3              )                  3                      =            −      7              x                  2                    −      4      x      +      9              (      x      +      1              )                  4                    (              x                  2                    −      3              )                  3                    2) Take out the common term   (  6  x  +  1      )          2       and simplify.            (      6      x      +      1              )                  2                    [      (      27              x                  2                    +      2      )      (      6      x      +      1      )      −      162              x                  3                    −      36      x      ]              (      6      x      +      1              )                  6                      =            162              x                  3                    +      12      x      +      27              x                  2                    +      2      −      162              x                  3                    −      36      x              (      6      x      +      1              )                  4                      =            27              x                  2                    −      24      x      +      2              (      6      x      +      1      )

Simplify the expression. 1. ((-2)/(x^2-3)^32x(x+1)^3-3(x+1)^21/(x^2-3)^2)/([(x+1)^3]^2) ((6x+1)^2[(27x^2+2)(6x+1)-162x^3-36x])/((6x+1)^6)

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Answer & Explanation

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