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bonjour

O =   ( 4 x - 3 ) ( 5 x - 8 ) - ( x² + 2 - 3 x )

   =  20 x² - 32 x - 15 x + 24 - x² - 2 + 3 x

   =  19 x² - 44 x + 22

S = ( x + 3 )² + ( 2 x - 5 )²

  = x² + 6 x + 9 + 4 x² - 20 x + 25

  =  5 x² - 14 x + 34

Bonjour,

(4x - 3)(5x - 8) - (x² + 2 - 3x) =

4x * 5x + 4x * -8 - 3 * 5x - 3 * -8 - (x² + 2 - 3x) =

20x² - 32x - 15x + 24 - (x² + 2 - 3x) =

20x² - 47x + 24 - x² - 2 + 3x =

19x² - 44x + 22.

(x + 3)² + (2x - 5)² =

x * x + 3 * 2 * x + 3² + 2x * 2x + 2x * -5 * 2 + (-5)² =

x² + 6x + 9 + 4x² - 20x + 25 =

5x² - 14x + 34.

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