Răspuns:
a) x²-9x+14= x²-2x-7x+14= x(x-2)-7(x-2)= (x-2)(x-7)
b) x²-6x-16= x²-8x+2x-16=x(x-8)+2(x-8)= (x-8)(x+2)
c) 4x²-(x-1)²= (2x-(x-1))(2x+(x-1))= (x+1)(3x-1)
d)x³+2x²-9x-18=(x³+2x²)-9x-18= x²(x+2)-9(x+2)=(x+2)(x²-9)=(x+2)(x²-3²)=(x+2)(x-3)(x+3)
e)5x+15+xy+3y= (5x+15)+xy+3y?= 5(x+3)+y(x+3)=(x+3)(5+y)
f) x²+11x+28= x²+4x+7x+28=x(x+4)+7(x+4)=(x+4)(x+7)
Explicație pas cu pas:
