Question

Factorise the following using appropriate identities a²-(b-c)²​

Answer 1

Answer:

By using algaebric identity , we know that

a² - b² = (a + b)(a - b)

a² - (b - c)²

= (a – (b – c)) (a + b – c)

= (a – b + c) (a + b – c)

Hope it helps

Answer 2

Answer:

(a - b² - c² + 2bc) (a + b² + c² - 2bc)

Step-by-step explanation:

Using Identities

x² - y² =  (x + y) (x - y) and

(x  - y)² = x² + y² + 2xy

a² - ( b - c)²

⇒ (a - ( b - c)²) ( a + ( b - c)² )

⇒ (a - (b² + c² - 2bc)) (a + (b² + c² - 2bc))

⇒ (a - b² - c² + 2bc) (a + b² + c² - 2bc)