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IKeYzZeRs
@IKeYzZeRs
April 2019
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2 exercices a trouver s'il vous plait.
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winner123
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Bonjour
A : 9x² +30x +25 = (3x +5)²
B : 121x² -81 = (11x -9)(11x +9)
C : 64x² -(3x -5)² = (8x - 3x +5)(8x +3x -5) = ( 5x +5)( 11x -5)
D : (3x-1)(4x+7) - ( 3x-1)² = (3x-1) (4x-7) - (3x-1) = (3x-1)( 4x-7 -3x+1) = (3x-1)(x -6)
E : 25x² -1 - (7x-5)(5x-1) = (5x-1)(5x+1) - (7x-5)(5x-1) = ( 5x-1)(5x+1 - 7x +5)
=(5x-1)(-2x +6)
E : (3x+7)² -(2 -5x)²
E = 9x² + 42x +49 - (4 + 20x +25x²) = 9x² +42x +49 -4 -20x -25x² =
-14x² + 22x + 45
factorisation
E : (3x+7 -2 +5x) (3x+7 +2 -5x) =
( 8x +5)( -2x +9)
Pour x = - 1/8
E = (-8/8 +5)( 2/8 +9) = (- 8/8 + 40/8)( 8/8 + 72/8) = 32/8 x 80/8 = 4 x 10 =
40
pour x = 2√3
E = (16√3 +5)(-4√3 +9) = -192 +144√3 -20√3 +45 = 124√3 -147
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Verified answer
BonjourA : 9x² +30x +25 = (3x +5)²
B : 121x² -81 = (11x -9)(11x +9)
C : 64x² -(3x -5)² = (8x - 3x +5)(8x +3x -5) = ( 5x +5)( 11x -5)
D : (3x-1)(4x+7) - ( 3x-1)² = (3x-1) (4x-7) - (3x-1) = (3x-1)( 4x-7 -3x+1) = (3x-1)(x -6)
E : 25x² -1 - (7x-5)(5x-1) = (5x-1)(5x+1) - (7x-5)(5x-1) = ( 5x-1)(5x+1 - 7x +5)
=(5x-1)(-2x +6)
E : (3x+7)² -(2 -5x)²
E = 9x² + 42x +49 - (4 + 20x +25x²) = 9x² +42x +49 -4 -20x -25x² = -14x² + 22x + 45
factorisation
E : (3x+7 -2 +5x) (3x+7 +2 -5x) =( 8x +5)( -2x +9)
Pour x = - 1/8
E = (-8/8 +5)( 2/8 +9) = (- 8/8 + 40/8)( 8/8 + 72/8) = 32/8 x 80/8 = 4 x 10 = 40
pour x = 2√3
E = (16√3 +5)(-4√3 +9) = -192 +144√3 -20√3 +45 = 124√3 -147