Question

Factarize: a(a-1)-b(b-1)​

Answer 1

(a²-a)(-b²+b)

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Answer 2

Answer:

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

Step-by-step explanation:

$\: \: \: \: \: \: \: \: \: \: \: \: \: a(a - 1) - b(b - 1) \\ = a {}^{2} - a - b {}^{2} + b \\ = a {}^{2} - b {}^{2} - a + b \\ we \: know \: that \: a { }^{2} - b {}^{2} = (a + b)(a - b)\\ i.e.,= > (a - b)(a + b) - (a - b) \\ \: \: \: \: \: \: \: \: \: = (a - b)(a + b - 1)$

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