Question

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

Answer 1

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)

I hope this will help you


By maths aryabhatta

Answer 2

Hey there!

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

= a² -a -b² +b

= a² - b² - ( a - b)

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

Hope helped!