Question

find one factor of (x-1)^3-(x^2-1)​

Answer 1

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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