Question

Factorise- a⁴ - b⁴ + 2b² - 1​

Answer 1

Step-by-step explanation:

$\huge \fbox\blue{answer}$

a4-b⁴ + 2b² - 1

= a⁴- (b⁴-2b²+1)

= a⁴ - [(b² )² - 2 × b² × 1 + 1² ]

= (a²)²-(b²-1)²

= (a² + b² - 1) [ a² - (b²-1)]

= (a² + b² - 1)(a²-b²+1)