Question

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

Answer 1

Expanding a(a - 1) - b(b - 1), we get

a^2 - a - b^2 + b

= a^2-b^2-(a-b)

= (a + b) * (a - b) - (a - b)

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

Therefore, a(a - 1) - b(b - 1) = (a - b) * (a + b - 1).