1.

Factories: ab2 – bc2 – ab + c2

Answer»

ab2 – bc2 – ab + c2 

Let’s first arrange the terms in a suitable form; 

ab2 – bc2 – ab + c2 

= ab2 – ab – bc2 + c2 

= (ab2 – ab) – (bc2 - c2

= ab(b – 1) – c2(b - 1) 

= (b – 1)(ab – c2

So we get, 

ab2 – bc2 – ab + c2 = (b – 1)(ab – c2)



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