Question

factorise a (a-1)-b (b-1)​

Answer 1

Answer:

$a(a + 1) - b(b - 1) \\ \\ {a}^{2} + a - {b}^{2} + b \\ \\ {a}^{2} - {b}^{2} + a + b.$

answer

Answer 2

GivEn:

• a(a - 1) -b(b - 1)

SolutiOn:

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

➛ a² - a - b² + b

➛ (a² - b²) - (a-b)

➛ (a - b) (a +b) -(a-b)

➛ (a-b) {(a + b) -1}

➛ (a-b) (a + b - 1)

Hence;

The Factors is (a - b) (a + b - 1).

Extra Dose:

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• (a + b)³ = a³ + b³ + 3ab (a + b)
• (a - b)³ = a³ - b³ - 3ab (a - b)