Factorise x² + 1/x²+2-3x -3/x
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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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