Question

scoateti factor comun:
4x+4y-4z
18x^3y^2-24x^2y^3+6x^2y^2
(si prin 18x^3 vreau sa spun 18x la puterea a 3-a)

Restrangeti
x^2+6x+9
49x^2-14x+1
Descompuneti in factori:
(X+1)^2-1
9(2x+1)^2-25X^2

Answer 1

Scoateti factor comun
4x+4y-4z=4(x+y-z)

18x³y²-24x²y³+6x²y² =6x²y²(3x-4y+1)


Restrangeti
x²+6x+9=(x+3)²
49x²-14x+1=(7x-1)²

Descompuneti in factori:
(x+1)²-1 =
=(x+1-1)(x+1+1)=
=x(x+2)

9(2x+1)²-25x² =
=[3(2x+1)+5x][3(2x+1)-5x]=
=(6x+3+5x)(6x+3-5x)=
=(11x+3)(x+3)