Factorise: x²+1/x²+1
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Q. Factorize x² + ( 1/x² ) + 1.
= x² + ( 1/x² ) + 1
= x² + ( 1/x² ) + 2 - 1
= { x² + ( 1/x² ) + 2 } - 1
= { x + ( 1/x )}² - 1²
= { x + ( 1/x ) + 1 } { x + ( 1/x ) - 1 }.
Hope it helps !
Q. Factorize x² + ( 1/x² ) + 1.
= x² + ( 1/x² ) + 1
= x² + ( 1/x² ) + 2 - 1
= { x² + ( 1/x² ) + 2 } - 1
= { x + ( 1/x )}² - 1²
= { x + ( 1/x ) + 1 } { x + ( 1/x ) - 1 }.
Hope it helps !
Anonymous:
Which one ???
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0
Answer:
(x+1/x+1)(x+1/x-1) is the answer
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