Răspuns :
25(x-3)²-4(3x+1)²=[ 5*(x-3)+2(3x+1)]*[5(3x+1)-2(3x+1)]=
=(5x-15+6x+2)*(5x-15-6x-2)= (11x-13)(-x-17)= -(11x-13)(x+17)
=(5x-15+6x+2)*(5x-15-6x-2)= (11x-13)(-x-17)= -(11x-13)(x+17)
Folosim formula de calcul prescurtat a²-b²=(a-b)(a+b)
25(x-3)²-4(3x+1)²=[5(x-3)+2(3x+1)][(5(x-3)-2(3x+1)]
=(5x-15+6x+2)(5x-15-6x-2)
=(11x-13)(-x-17)
=-(11x-13)(x+17)
25(x-3)²-4(3x+1)²=[5(x-3)+2(3x+1)][(5(x-3)-2(3x+1)]
=(5x-15+6x+2)(5x-15-6x-2)
=(11x-13)(-x-17)
=-(11x-13)(x+17)