Question

descompuneti in factori pls dau coroana si multe puncte

Answer 1

4x^2+4x=4x(x+1)
4x^2+4x+1=(2x+1)^2 binomul la patrat
9x^2-6x+1=(3x-1)^2 binomul la patrat
(x+3)^2-(x-2)^2=(diferenta de patrate a^2-b^2=(a-b)(a+b))=(x+3-x+2)(x+3+x-2)=5(2x+1)
x^2+6x+8=(grupam)=(x^2+4x)+(2x+8)=x(x+4)+2(x+4)=(x+4)(x+2)
Notam (x^2+x)=y. (Cred ca la sfarsit se scade cifra 12 nu 1!!!)
formula devine
y(y+1)-2=y^2+y-2=y^2-y+2y-2=(grupam)=y(y+2)-(y+2)=(y-1)(y+2)=(x^2+x-1)(x^2+x+2)