bonsoir
A(x) = (2+ 3x) (−x + 7) − (2 + 3x) (2x + 1)
A (x) = - 2 x + 14 - 3 x² + 21 - ( 4 x + 2 + 6 x² + 3 x )
a (x) = - 3 x² - 2 x + 35 - 6 x² - 7 x - 2
A (x) = - 9 x² - 9 x + 33
A(x) = (7-2x) (x + 5) - (21-6x) (2x - 1)
= 7 x + 35 - 2 x² - 10 x - ( 42 x - 21 - 12 x²- 6 x )
= - 2 x² - 3 x + 35 + 12 x² - 42 x + 6 x + 21
= 10 x² - 39 x + 56
A(x) = (3x - 2)² - (2x - 3)²
= 9 x² - 12 x + 4 - ( 4 x² - 12 x + 9 )
= 9 x² - 12 x + 4 - 4 x² + 12 x - 9
= 5 x² - 5
A(x) = (x + 2)² - (x + 2) (2x − 1)
= x² + 4 x + 4 - ( 2 x² - x + 4 x - 2 )
= x² + 4 x + 4 - 2 x² + x - 4 x + 2
= - x² + x + 6
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A(x) = (2+ 3x) (−x + 7) − (2 + 3x) (2x + 1)
A (x) = - 2 x + 14 - 3 x² + 21 - ( 4 x + 2 + 6 x² + 3 x )
a (x) = - 3 x² - 2 x + 35 - 6 x² - 7 x - 2
A (x) = - 9 x² - 9 x + 33
A(x) = (7-2x) (x + 5) - (21-6x) (2x - 1)
= 7 x + 35 - 2 x² - 10 x - ( 42 x - 21 - 12 x²- 6 x )
= - 2 x² - 3 x + 35 + 12 x² - 42 x + 6 x + 21
= 10 x² - 39 x + 56
A(x) = (3x - 2)² - (2x - 3)²
= 9 x² - 12 x + 4 - ( 4 x² - 12 x + 9 )
= 9 x² - 12 x + 4 - 4 x² + 12 x - 9
= 5 x² - 5
A(x) = (x + 2)² - (x + 2) (2x − 1)
= x² + 4 x + 4 - ( 2 x² - x + 4 x - 2 )
= x² + 4 x + 4 - 2 x² + x - 4 x + 2
= - x² + x + 6