Question

Descompuneti in factori,grupand mai intai convenabil termeni:
c)xy+xz+5y+5z=
d)3x+3y+a^2x+a^2y=
e)2x^3-2x^2+7ax-7a=
f)x^2-x+ax-a=
g)3a^2+3ab+2ab^2+2b^2=
h)5x^2-10x^2+6x-12=
i)x^2-x^3+2x-2=

Answer 1

c)xy+xz+5y+5z=xy+5y+xz+5z=y(x+5)+z(x+5)=(x+5)(y+z)
d)3x+3y+a²ˣ+a^2y=3(x+y)+(a²)ˣ+(a²)^y
e)2x³-2x²+7ax-7a=2x²(x-1)+7a(x-1)=(x-1)(2x²+7)
f)x²-x+ax-a==x(x-1)+a(x-1)=(x-1)(x+a)
g)3a²+3ab+2ab²+2b²=3a(a+b)+2b²(a+1)
h)5x²-10x²+6x-12=-5x²+6(x-2)
i)x²-x³+2x-2=-x²(x-1)+2(x-1)=(x-1)(2-x²)