Factorise a⁴-b⁴+2b²-1
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Hi ,
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 )
I hope this helps you.
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