find one factor of (x-1)^3-(x^2-1)
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Answer:
__________
(x²-3-4x)(x-2)
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Step-by-step explanation:
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(x-1)³ - (x²-1)
x-1)³ - (x²-1)=> x³+1³-3(x+1)(x+1) - (x²-1)
=> x³+1³ -3x-3(x²+1²) -(x²-1)
=> x³+1³-3x-3x²-3 -x²+1
=> x³-3x-3x²-x² +1³-3+1
=> x(x²-3-3x-x)+1(-3+1)
=> x(x²-3-4x) +1(-2)
=> x(x²-3-4x) -2
=> (x²-3-4x)(x-2)
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