Question

Descompunerea in factori:
a) (x^2 - 2x + 1)

b) x^3+1

Answer 1

a) (a-b)^2=a^2-2ab+b^2
in cazul nostru a=x si b=1
x^2 - 2x + 1=(x-1)^2=(x-1)(x-1)

b) a^3+b^3=(a+b)(a^2-ab+b^2)
in cazul nostru a=x si b=1
x^3+1=(x+1)(x^2-x+1)