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