EXERCICE 2 :
E = [tex]-3x(x-2)(5 + x) + 5(7 + x)[/tex]
= [tex]-3x^{2} + 6x (5+x) +35+5x[/tex]
= [tex]-3x^{2} +30x + 6x^{2} +35+5x[/tex]
=[tex]3x^{2} +35x +35[/tex]
F = [tex]5x(2x-1)^{2} -2(x-5)^{2}[/tex]
= [tex]5x *(4x^{2} -4x+1)-2(x^{2} -10x+25)[/tex]
=[tex]20x^{3} -20x^{2} +5x-2x^{2} +20x-50[/tex]
=[tex]20x^{3} -22x^{2} +25x-50[/tex]
G =[tex]-(x+5)(x-5)-4(x+1)[/tex]
=[tex]-(x^{2} -25)-4x-4[/tex]
=[tex]-x^{2} +25-4x-4[/tex]
=[tex]-x^{2} +21-4x[/tex]
=[tex]-x^{2} - 4x+21[/tex]