Question

Descompuneti in factori:

1. (x+2)^2-(×+2)=
2. (2x+5)(x+3)-4(2x+5)=
3. (2x+1)(x+1)-(x+3)(x+1)=
4. x^2-2x+1=
5. x^2-10x+25=
6. 4x^2+4x+1=
7. x^2+4x+4=
8. 36x^2+84x+49=
9. (x+2)^2-6(x+2)+9=
10. x^2 -49=

^ inseamna la puterea.

Answer 1

1. (x+2)-(x+2)=(x+2)(x+2-1)=(x+2)(x+1)=$x^{2}$+x+2x+2=$x^{2}$+3x+2
2.(2x+5)(x+3-4)=(2x+5)(x-1)=$2 x^{2}$-2x+5x-5=$2 x^{2}$+3x-5
3.(x+1)(2x+1-x-3)=(x+1)(x-2)=$x^{2}$-2x+x-2=$x^{2}$-x-2
4.$(x-1)^{2}$
5.$(x-5)^{2}$
6.$(2 x+1)^{2}$
7.$(x+2)^{2}$
8.$(6 x+7)^{2}$
9.(x+2)(x+2-6)+9=(x+2)(x-4)+9=$x^{2}$-4x+2x-8=$x^{2}$-2x-8
10.(x+7)(x-7)