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Right answer will mark in brainlist and wrong answer will be reported.Help me please please please please. Factorise. ​

Answer»

Question:

FACTORISE : x² + 1/x² - 2 - 3x + 3/x

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 - 1/x )

Using ALGEBRAIC identity a² + b² - 2ab = ( a - b )²

= ( x - 1/x )² - 3( x - 1/x )

Taking ( x - 1/x ) common

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

HENCE the EXPRESSION is factorised.

Additional information :

Factorisation :

Expressing an expression or polynomial as its products is known as factorisation.

Factorisation can be done done using these methods

  • Algebraic IDENTITIES
  • Splitting the middle term and so on

Some important algebraic identities :

  • ( a + b )² = a² + b² + 2ab

  • ( a - b )² = a² + b² - 2ab

  • ( a + b )( a - b ) = a² - b²

  • ( x + a )( x + b ) = x² + ( a + b )x + ab


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