Factorise x – 1 – (x – 1)2 + ax – a

x – 1 – (x – 1)2 + ax – a

Answer:

x – 1 – (x – 1)2 + ax – a

By expanding the above we get,

X – 1 – (x2 + 1 – 2x) + ax – a

x – 1 – x2 -1 + 2x + ax – a

2x – x2 + ax – 2 + x – a

Take out common in all terms,

x(2 – x + a) – 1(2 – x + a)

(2 – x + a) (x – 1)

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