Question

Descompuneti in factori , grupand mai intai convenabil termenii :
a) 5x-5y+ax-ay
b) 3x+3y+a²x+a²y
c) x²-x+ax-a
d)x la a 4 -x³+2x-2

Answer 1

a).   =(5x-5y) + (ax-ay)=5(x-y) + a(x-y) = (x-y)(5+a) ;
b).   =(3x+3y) + (a²x+a²y) = 3(x+y) + a²(x+y) = (x+y)(3+a²) ;
c).   =(x²-x) + (ax-a)=x(x-1) +a(x-1) = (x+1)(x+a) ;
d).   =(x⁴-x³) + (2x-2)=x³(x-1)+2(x-1)=(x-1)(x³+2) ;