Răspuns:
Explicație pas cu pas:
3
a)6a(3x-y)+5b(3x-y)=(3x-y)(6a+5b)
b)x²+2y+9a(x²+2y)=(x²+2)(1+9a)
c)5a(2x+5y)-11b(2x+5y)=(2x+5y)(5a-11b)
d)x²(x+1)+(x+1)=(x+1)(x²+1)
e)x+y-z+a(x+y-z)=(x+y-z)(1+a0
f)(x-2)²-2(x-2)=(x-2)(x-2-2)=(x-2)(x-4)
g)x²(x+2)-4(x-2)=(x-2)(x²-4)=(x-2)²(x+2)
h) x²(x-5)-(x-5)=(x-5)(x²-1)=(x-1)(x+1)(x-5)
4
a) (x-2)²-y²=(x-y-2)(x+y-2)
b)x²-(3a+1)²=(x-3a-1)(x+3a+1)
c) (x-y)²-1=(x-y-1)(x-y+1)
d) (x²-1)²-2(x²-1)=(x²-1)(x²-1-2)=(x-1)(x+1)(x²-2)
e)(x-y)(x+y) +a(x-y)=(x-y)(x+y+a)
f)x(x²+x+1)-b(x²+x+1)=(x²+x+1)(x-b)
g)(x-y)-a(x-y)(x+y)=(x-y)(1-ax+ay)
h)(x-1)(x+1)+a(x-1)+√2(x-1)=(x-1)(x+1+a+√2)
