Question

a) x^2+416xy+8y^2=
b)(a^2+a)(a^2+a-2)+1=
c)x(x+4)+4=
d)x^3+2x^2-9x-18=
e)1-x+x^2-x^3=
P.S:"^" inseamna n la o putere

Answer 1

b) notam a^2+a=x
x(x-2)+1=x^2-2x+1=(x-1)^2=(a^2+a-1)^2

c)=x^2+4x+4=(x+2)^2

d)=x^3+2x^2-3x-6x-18=x(x^2+2x-3)-3(x+3)=x(x-1)(x+3)-6(x+3)=
(x+3)(x^2-x-6)=(x+3)(x-3)(x+2)=(x^2-9)(x+2)

e)=1-x+x^2-x^3=(1-x)+x^2 *(1-x)=(1-x)(1+x^2)

Ma mai gandesc si la a) (nu-i dau de cap)