$$\[ f(x)=x(x-1)(x-2) \]$$ Show that $$\(\mathrm{f}(x)=x^{3}-3 x^{2}+2 x\)$$.
Exam No：0580_w21_qp_43 Year：2021 Question No：9(b)
Answer:
\(
x\left(x^{2}-x-2 x+2\right) \text { or }\left(x^{2}-x\right)(x-2)
\)
or \((x-1)\left(x^{2}-2 x\right)\)
leading to \(x^{3}-3 x^{2}+2 x\) with no errors or omissions
x\left(x^{2}-x-2 x+2\right) \text { or }\left(x^{2}-x\right)(x-2)
\)
or \((x-1)\left(x^{2}-2 x\right)\)
leading to \(x^{3}-3 x^{2}+2 x\) with no errors or omissions
Knowledge points:
E2.2.3 Expand products of algebraic expressions. (e.g. expand (x + 4)(x – 7)) (Includes products of more than two brackets, e.g. (x + 4)(x – 7)(2x + 1))
E2.2.4.1 ax+bx+kay+kby
Solution:
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