Question

Descompuneti in factori:
a)x²+2xy+y²-z²=
b)9-y²-6yz-9z²=
c)a³+a²b-ab²-b³

Answer 1

[tex]a)x^2+2xy+y^2-z^2=(x+y)^2-z^2=(x+y-z)(x+y+z)\\ b)9-y^2-6yz-9z^2=9-(y+3z)^2=(3-y-3z)(3+y+3z)\\ c)a^3+a^2b-ab^2-b^3=a^2(a+b)-b^2(a+b)=(a+b)(a^2-b^2)=\\ =(a+b)(a-b)(a+b)=(a+b)^2(a-b)[/tex]