Question

Dau 25 puncte + coroana + 5 stele + inima! Va rog exercitiul 5 si 7 doar cele incercuite. Multumesc

Answer 1

5.
a)(x-5)(3x-1)/(7-x)(3x-1) =
(3x^2 - 16x + 5)/(-3x^2 + 22x - 7)
b)(x+8)(3x-1)/(x-6)(3x-1) =
(3x^2 + 23x - 8)/(3x^2 - 19x + 6)
c)(2x-1)(3x-1)/(5-4x)(3x-1) =
(6x^2 - 5x + 1)/(-12x^2 + 19x - 5)
d)(7x+4)(3x-1)/(6x-5)(3x-1) =
(21x^2 + 5x - 4)(18x^2 - 27x + 5)

7.
a)Numitor comun x^2 - 4 sau (x-2)(x+2)
4x^3(x-2)/(x-2)(x+2) = (4x^4 - 8x^3)/(x-2)(x+2)
b)Numitor comun x^2 - 1 sau (x-1)(x+1)
5x^3(x-1)/(x-1)(x+1) = (5x^4 - 5x^3)/(x-1)(x+1)
c)Numitor comun x^2 - 9 sau (x-3)(x+3)
7x^2(x+3)/(x-3)(x+3) = (7x^3 + 21x^2)/(x-3)(x+3)
f)Numitor comun x^2 - 25 sau (x-5)(x+5)
Primul raport - amplificat cu (-1) :
-3x^2/(x-5)(x+5)
Al doilea raport - amplificat cu x+5 :
9x(x+5)/(x-5)(x+5) = (9x^2 + 45x)/(x-5)(x+5)