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Sagot :

Bonjour,

Développer :

( x+8 )²-(-9x-9)²

= x² + 16x + 64 - (81x² + 162x + 81)

= x² + 16x + 64 - 81x² - 162x - 81

= x² - 81x² + 16x - 162x + 64 - 81

= - 80x² - 146x - 17.

Factoriser :

( x+8 )²-(-9x-9)²

= (x + 8 + 9x + 9) (x + 8 - 9x - 9)

= (10x + 17) (- 8x - 1)

VINS

bonjour

( x + 8 )² - ( - 9 x - 9 )²

= x² + 16 x + 64 - (  81 x² - 162 x + 81 )

= x² + 16 x + 64 - 81 x² + 162 x - 81

=  - 80 x² + 178 x - 17

( x + 8 - 9 x - 9 ) ( x + 8 + 9 x + 9 )

= ( - 8 x - 1 ) ( 10 x + 17 )

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