Question

Descompuneti in factori :
a la 2 -ab-2b-4
x la 2 +xy+2y-4
4x la 2 -4xy-6y-9
4y la 2 -4xy = 6 x -9
x la 4 + 2ax la 3 - a la 4-2a la 3 x.

Descompuneti in factori x la 2 - 4 x -1
x la 2 -3x - 10
x la 2 + 2x -1
4 la 4 +9

Answer 1

x²-ab-2b-4=x²-4-ab-2b=(x²-4)-b(a+2)=(x-2)(x+2)-b(a+2)

x²+xy+2y-4=x²-4+xy+2y=(x+2)(x-2)+y(x+2)

4y²-4y=6x-9
4y(y-1)=3(2x-3)

x⁴+2ax³-a⁴-2a³x=x⁴-a⁴+2ax³-2a³x=(x²-a²)²+2ax(x²-a²)=(x²-a²)(x²-a²+2ax)=
(x²-a²)(x-a)²=(x-a)(x+a)(x-a)²=(x+a)(x-a)³

x²-3x-10=(x+2)(x-5)