Bonjour, pouvez-vous corriger s'il vous-plait car je ne suis pas sûr que tout sois juste. Merci. ( ce signe : "^2" signifie puissance deux )
Exercice 2 :
Supprimer les parenthèses et réduire les expressions suivantes.
A = -(−7y + 9) + (−11y^2 + 10y + 5)
= -(-7y) + 9 - 11y^2 + 10y + 5
= 7y - 9 - 11y^2 + 10y + 5
= -11y^2 + 17y - 4
B = -(−7x^2 - 7x - 5) + (10x^2 - 6x - 10)
= 7x^2 + 7x + 5 + 10x^2 - 6x - 10
= 17x^2 + x - 5
C = (−8y - 8) - (8y - 10)
= -8y - 8 - 8y + 10
= -16y + 2
D = (9b - 2) - (8b^2 - 4b - 9)
= 9b - 2 - 8b^2 + 4b + 9
= -8b^2 + 13b + 7
E = -(−3y - 2) + (−2y - 2)
= 3y + 2 - 2y - 2
= y
F = (−x^2 - 2x - 4) - (−3x^2 - x + 4)
= -x^2 - 2x - 4 + 3x^2 + x - 4
= 2x^2 - x - 8
Exercice 3 :
Développer et réduire les expressions suivantes.
A = 8(−x + 7) − (−7 − 9x)
= 8*(-x) + 8*7 - (-7) - (-9x)
= -8x + 56 + 7 + 9x
= x + 63
B = −3x + (−10x + 4)(−9x − 7)
= -3x - (-10x9x) - (-10x7) + 4*(-9x) + 4*(-7)
= -3x + 90x^2 + 70x - 36x - 28
= 90x^2 + 31x - 28
C = 10 − (−2x + 3)(−6x + 9)
= 10 - (-2x * -6x) - (-2x * 9) - 3*(-6x) - 3*9
= 10 - 12x^2 + 18x + 18x - 27
= -12x^2 + 36x - 17
D = 10 + (−9x + 6)(−11x − 9)
= 10 + (-9x * -11x) - (-9x * 9) - 6*(-11x) - 6*9
= 10 + 99x^2 + 81x + 66x – 54
= 99x^2 + 147x - 44
E = (2x * 2)(−5x + 4)
= 4x * -5x + 4*4
= -20x^2 + 16x
F = −8x + 6(−3x + 2)
= -8x + 6*(-3x) + 6*2
= -8x - 18x + 12
= -26x + 12
G = (x * 3)(−11x + 7)
= 3x * -11x + 3x * 7
= -33x^2 + 21x
H = 10x − 8(9x − 7)
= 10x - 89x + 87
= 10x - 72x + 56
= -62x + 56
I=9(4x−6)−(−1−4x)
=36x−54+1+4x
=40x−53
J=10−(3x−8)(−11x+11)
=10−(−33x
2+33x+88x−88)
=10+33x 2−121x+88
=33x 2−121x+98