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.
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