Math, asked by kinshukbansal2008, 2 months ago

Factorise x² + 1/x²+2-3x -3/x​

Answers

Answered by YagneshTejavanth
1

Answer:

( x + 1/x )( x + 1/x - 3 )

Step-by-step explanation:

x² + 1/x² + 2 - 3x - 3/x

It can be written as

= (x)² + ( 1/x )² + 2(x) ( 1/x ) - 3(x) - 3( 1/x )

= ( x + 1/x )² - 3( x + 1/x )

Since a² + b² + 2ab = (a + b)²

Taking x + 1/x common

= ( x + 1/x )( x + 1/x - 3 )

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