Math, identities and equalities

Determine the value of a, b, and c so the following equalities become true for any value of x.

x^3 - 6x^2 + 15x - 7 =(x+a)^3 + bx + c

If possible, could you please show how you solved it.

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asked by Adeline
  1. expand the cube of the binomial
    ... the x^3 terms will cancel
    ... consolidate like terms

    match the term coefficients with the left hand side

    solve the resulting equations for a, b, and c

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    posted by Scott

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