Question

Factorise
a(a-1)-b(b-1)

Answer 1

Answer:

open the brackets

a²-a-b²+b

a²-b²-a+b

By identity a²-b²=(a+b) (a-b)

(a+b)(a-b)-a+b

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Taking common

(a+b)(a-b)-1(a-b)

{a-b} (a+b-1)

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Answer 2

Answer:

Step-by-step explanation:

a(a-1)-b(b-1)

a2-a-b2+b

a2-b2-a+b