factorise x×x+1/x×x-3
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Solution :
x² + 1/x² - 3
= ( x² + 1/x² - 2 ) - 1
= [ x² + 1/x² - 2*x*1/x ] - 1²
= ( x - 1/x )² - 1²
= ( x - 1/x + 1 )( x - 1/x - 1 )
••••
x² + 1/x² - 3
= ( x² + 1/x² - 2 ) - 1
= [ x² + 1/x² - 2*x*1/x ] - 1²
= ( x - 1/x )² - 1²
= ( x - 1/x + 1 )( x - 1/x - 1 )
••••
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