x²-2x+1:x³-3x²+3x-1::x²-4x+4:
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Now, x³ - 3x² + 3x + 7
= x³ + x² - 4x² - 4x + 7x + 7
= x²(x + 1) + -4x (x + 1) + 7 (x + 1)
= (x + 1) (x² - 4x + 7),
which is the required factorization.
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