Question

factorise:4b^2c^2-(b^2+c^2-a^2)^2​

Answer 1

Answer:

(a+b+c)(−a+b+c)(a+b−c)(a−b+c)

Step-by-step explanation:

The given expression is (2bc)²−(b² + c² − a²)²

Using x² − y²= (x + y)(x − y),

= {2bc + b² + c² − a²}{2bc − (b² + c² − a²)}

= {(b + c)2 − a²}{a² − (b − c)²)}

= (a + b + c)(−a + b + c)(a + b − c)(a − b + c)