Question:

How can i factorize the expression x^3 - 49x?

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How can i factorize the expression x^3 - 49x?

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  1. x^3 -49x

    =x(x^2 -49)

    =x(x + 7)(x - 7)


  2. First, factor out the x.

    So, you get x(x^2-49)

    Then, factor (x^2-49)

    Result:

    x(x-7)(x+7)

  3. Take out x as a common factor:

    x(x^2 - 49)

    Treat the remainder as difference of squares:

    x(x + 7)(x - 7)

  4. Factor out x

    x(x^2 - 49), now it's a sq minus a sq so

    x(x+7)(x-7)

  5. x^3 - 49x

    = x (x^2 - 49)

    = x (x + 7) (x - 7)

  6. x(x-7)(x+7)

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