If you simplify x³-3x²+3x+7then its factors are
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x³- 3x²+3x+7
=> x³- 3x²1 + 3x1² -1³ +8
=> (x-1)³ + 8
=> (x-1)³ + 2³
=> (x-1+2) {(x-1)²-2(x-1)+2²}
=> (x+1) (x²-2x+1-2x+2+4)
=>(x+1) ( x²-4x+7)
=> x³- 3x²1 + 3x1² -1³ +8
=> (x-1)³ + 8
=> (x-1)³ + 2³
=> (x-1+2) {(x-1)²-2(x-1)+2²}
=> (x+1) (x²-2x+1-2x+2+4)
=>(x+1) ( x²-4x+7)
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