Question

8. Efectuați:
a)
3x-6.xy-2y.
3x-1 9x²-1
b)
9. Aduceti la forma cea mai simplă:
2-xx²-4
3x+12 4x+x²
25yx 18a¹b³
(c)
6-6x
:
x²-2x+1; d)
a³b³
1,2yz² 5a
3ab
6bd
ax+3x 9+6a+a²

Answer 1

Răspuns:

Explicație pas cu pas:

a)

(3x-6)(xy-2y)

= 3(x-2) * y(x-2)

= 3y(x-2)²

(3x-1) / (9x²-1)

= (3x-1) / [(3x+1)(3x-1)]

= 1 / (3x+1)

b)

2 - x / (x²-4)

= 2 - x / [(x+2)(x-2)]

= 2(x+2) / [(x+2)(x-2)] - x / [(x+2)(x-2)]

= (2x+4-x) / [(x+2)(x-2)]

= (x+4) / [(x+2)(x-2)]

25yx / (18a¹b³) = (5y / 3a¹) * (5x / 2b³)

(c)

6-6x / (x²-2x+1)

= 6(1-x) / [(x-1)²]

= -6(x-1) / [(x-1)²]

= -6 / (x-1)

(d)

a³b³ / [(1,2yz²)(5a)]

= a²b³ / (6yz²)

3ab / (6bd)= 1 / 2d

(ax+3x) / (9+6a+a²)= x(a+3) / [(a+3)(a+3)]

= x / (a+3)