Math, asked by bhardwaj123rachit99, 6 months ago

Factorise.
(i) a⁴-b⁴​

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Answered by srushtipande
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ruchishukla5

16.09.2017

Math

Secondary School

+5 pts

Answered

A⁴-b⁴+2b²-1 factorise

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mysticd

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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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