How do I simplify this expression about factorization?I am trying to simplify this 9 x 2 − x 4 x 2 − 6 x + 9 The solution is − x 2 ( x + 3 ) x − 3 = − x 3 − 3 x 2 x − 3 I have done x 2 ( 9 − x 2 ) ( x − 3 ) ( x − 3 ) = x 2 ( 3 − x ) ( 3 + x ) ( x − 3 ) ( x − 3 ) but I do not find a way to simplifyHow can I simplify to get the answer?I have to use ( a + b ) ( a − b ) = a 2 − b 2 ( a + b ) 2 = a 2 + 2 a b + b 2 ( a − b ) 2 = a 2 − 2 a b + b 2

Question

How do I simplify this expression about factorization?I am trying to simplify this            9              x        2            −              x        4                            x        2            −      6      x      +      9      The solution is            −              x        2            (      x      +      3      )              x      −      3        =            −              x        3            −      3              x        2                    x      −      3      I have done                    x        2            (      9      −              x        2            )              (      x      −      3      )      (      x      −      3      )        =                    x        2            (      3      −      x      )      (      3      +      x      )              (      x      −      3      )      (      x      −      3      )      but I do not find a way to simplifyHow can I simplify to get the answer?I have to use      (    a    +    b    )    (    a    −    b    )    =            a      2        −          b      2            (    a    +    b          )      2        =            a      2        +    2    a    b    +          b      2            (    a    −    b          )      2        =            a      2        −    2    a    b    +          b      2

bideanbarrenaf5 · Accepted Answer

Notice that   (  3  −  x  )  =  −  (  x  −  3  ). Simplify accordingly.

vestpn · Accepted Answer

Observe that  9      x    2    −      x    4    =  −      x    2    (      x    2    −  9  )  =  −      x    2    (  x  −  3  )  (  x  +  3  )  .Thus, we have that            9              x        2            −              x        4                            x        2            −      6      x      +      9        =            −              x        2            (      x      −      3      )      (      x      +      3      )              (      x      −      3              )        2              =  −      x    2        (                  x        +        3                    x        −        3              )    .

How do I simplify this expression about factorization? I am trying to simplify this

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