Factorize: @^ (y^3 - y) @^


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Answer:

^@ y ( y - 1 ) ( y + 1 )^@

Step by Step Explanation:
  1. We know that @^ \begin{aligned} (a^2 - b^2) = (a + b) (a - b) \end{aligned} @^
  2. Thus @^ \begin{aligned} (y^3 - y) = \space& y( y^2 - 1 ) \\ = \space& y( y^2 - 1^2 ) \\ = \space& y ( y - 1 ) ( y + 1 ) \end{aligned} @^
  3. Thus, ^@ (y^3 - y) = y ( y - 1 ) ( y + 1 )^@.

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