Răspuns :
(5x-3) ² = 25x²-30x + 9
(3x-4)²= 9x²-24x+16x
X²-2x-3= (x-3)(x+1)
a)[tex](5x-3) ^{2} -(3x-4) ^{2} =[/tex](5x-3-3x+4)(5x-3+3x-4)=(2x+1)(8x-7)
b)[tex] x^{2} -2x-3= x^{2} +x-3x-3=[/tex]x(x+1)-3(x+1)=(x+1)(x-3)
c)[tex] x^{2} -4x-12= x^{2} +2x-6x-12=[/tex]x(x+2)-6(x+2)=(x+2)(x-6)
b)[tex] x^{2} -2x-3= x^{2} +x-3x-3=[/tex]x(x+1)-3(x+1)=(x+1)(x-3)
c)[tex] x^{2} -4x-12= x^{2} +2x-6x-12=[/tex]x(x+2)-6(x+2)=(x+2)(x-6)
