(x-1)(2x²-3x+2)-x(x+1)(x-2)

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(x-1)(2x²-3x+2)-x(x+1)(x-2)
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(x-1)(2x²-3x+2)-x(x+1)(x-2)
(x-1)(2x²-3x+2)-x(x+1)(x-2)

(x-1)(2x²-3x+2)-x(x+1)(x-2)
=2x³-3x²+2x-2x²+3x-2-x(x²-x-2)
=2x³-3x²+2x-2x²+3x-2-x³+x²+2x
=x³-4x²+7x-2

(x-1)(2x²-3x+2)-x(x+1)(x-2)
=2x³-3x²+2x-2x²+3x-2-(x²+x)(x-2)
=2x³-3x²+2x-2x²+3x-2-(x³-2x²+x²-2x)
=x³-4x²+7x-2