Question

x²+2(a²+b²)x+(a²-b²)²​

Answer 1

Answer:

Step-by-step explanation:

• (a+b)² = a²+2ab+b²

• a²-b² = (a+b) (a-b)

• x² + 2(a²+b²)x + (a²-b²)²

= x²+ 2(a²+b²)x + (a²+b²)² + (a²-b²)² - (a²+b²)²

= [x + (a²+b²)] ² + (a²-b² + a²+b²) (a²-b² - a²-b²)

= [x + (a²+b²)] ² + 2a² . (-2b²)

=  [x + (a²+b²)] ² - (2ab)²