Algebra

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x^3-3x^2+3x-9=0. My book factors it to x^2(x-3)+3(x-3)=0, but then it magically becomes (x-3)(x^2+3). I have no idea how it became these numbers. Could you explain please? Thanks!

  • Algebra -

    you have a common factor, x-3. Let me use w for it.

    x^2*w+3w=
    w(x^2+3)
    (x-3)(x^2+3)

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