Factor X2+1/x2-7x-7/x+8
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Answered by
6
Hi ,
x² + 1/x² - 7x - 7/x + 8
= x² + 1/x² + 2 - 2 - 7 ( x + 1/x ) + 8
= ( x + 1/x )² - 7( x + 1/x ) + 6
Let x + 1/x = a ----( 1 )
= a² - 7a + 6
= a² - 6a - 1a + 6
= a( a - 6 ) - 1(a - 6 )
= ( a - 6 ) ( a - 1 )
= ( x + 1/x - 6 ) ( x + 1/x - 1 ) { from ( 1 ) ]
I hope this helps you.
:)
x² + 1/x² - 7x - 7/x + 8
= x² + 1/x² + 2 - 2 - 7 ( x + 1/x ) + 8
= ( x + 1/x )² - 7( x + 1/x ) + 6
Let x + 1/x = a ----( 1 )
= a² - 7a + 6
= a² - 6a - 1a + 6
= a( a - 6 ) - 1(a - 6 )
= ( a - 6 ) ( a - 1 )
= ( x + 1/x - 6 ) ( x + 1/x - 1 ) { from ( 1 ) ]
I hope this helps you.
:)
Answered by
3
Answer:
thank you so much for helping me in this answer.
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