x²+1/x²-11 factorise it
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Hi,
Here is your answer !
_____________________________
x² + 1/x² - 11
= x² + 1/x² - 2 - 9
= x² + 1/x² - 2×(x)×(1/x) - 9
[ since, (x)×(1/x) = 1 ]
= ( x - 1/x )² - 3²
= ( x - 1/x + 3 ) ( x - 1/x - 3)
================================
Identity Used :
(a + b)² = a² + b² + 2ab [ 2nd step ]
a² - b² = (a + b) (a - b) [ 4th step ]
Here is your answer !
_____________________________
x² + 1/x² - 11
= x² + 1/x² - 2 - 9
= x² + 1/x² - 2×(x)×(1/x) - 9
[ since, (x)×(1/x) = 1 ]
= ( x - 1/x )² - 3²
= ( x - 1/x + 3 ) ( x - 1/x - 3)
================================
Identity Used :
(a + b)² = a² + b² + 2ab [ 2nd step ]
a² - b² = (a + b) (a - b) [ 4th step ]
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Answer:
kindly find attached file
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