Question

(x2 + y2 - z2)2 - 4x²y2
factorise: ​

Answer 1

$\bold{\LARGE{\underline{\sf{Answer:}}}}$

(x – y – z) (x – y + z) (x + y – z)

$\bold{\LARGE{\underline{\sf{Solution:}}}}$

(x² + y² – z²)² – 4x²y²

= (x² + y² – z²)² – (2xy)²

= (x² + y² – z² – 2xy) (x² + y² – z² + 2xy)

= [(x – y)² – z²] [(x + y)² – z²]

= [(x – y – z)(x – y + z)] [(x + y – z)(x + y + z)]

= (x – y – z) (x – y + z) (x + y – z)