factorize: x-1-(x-1)²+4-4x
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Answer:
x - 1 - (x-1)^2+4 - 4x
= x - 1 -(x^2–2x+1)+4–4x
= x - 1 - x^2 + 2x - 1 + 4 - 4x
= -x^2 - x + 2 = -(x^2 + x - 2)
= -(x^2 + 2x - x - 2)
= -{x(x+2) -1(x+2)}
= - (x+2)(x-1) = (x+2)(1-x)
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