w załączniku.... ;)
a)
9a²c 21ab
------ : ------- =
12bc² 14c²
3 a² 3ab
------ : ------ =
4bc 2c²
3a² 2c²
----- * ------- =
4bc 3ab
a²c²
-------- = ½*a*c/b² = ½*a*b⁻²*c
2ab²c
b)
(x +1) 5
--------- + -------- =
(x² -4) (2x +4)
(x+1) 5
------------ + -------- =
(x-2)(x+2) 2(x +2)
2*(x+1) + 5(x-2)
= -------------------- =
2(x -2)(x+2)
2x +2 + 5x -10
= ------------------ =
2(x² -4)
7x -8
= --------
c)
5xy (x² -36)
------ * ---------- =
(x+6) x² -6x
Stosuje wzór skróconego mnożenia : a² - b² = (a-b)(a+b)
5xy*(x-6)(x+6)
= --------------- =
(x +6)*x(x -6)
5xy
= ------ = 5y
x
a) = (9a²c*14c³)/12bc²*21ab=(ac*c)/2b*b=ac²/2b²
b) = 2x+2/2(x-2)(x+2) + 5(x-2)/2(x+2)(x-2) =7x-8/2x²-8
c) = 5y ( rozkladasz lewa gore na (x-6)(x+6) w mianowniku wylaczasz x i sie wszystko pieknie skraca.
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a)
9a²c 21ab
------ : ------- =
12bc² 14c²
3 a² 3ab
------ : ------ =
4bc 2c²
3a² 2c²
----- * ------- =
4bc 3ab
a²c²
-------- = ½*a*c/b² = ½*a*b⁻²*c
2ab²c
b)
(x +1) 5
--------- + -------- =
(x² -4) (2x +4)
(x+1) 5
------------ + -------- =
(x-2)(x+2) 2(x +2)
2*(x+1) + 5(x-2)
= -------------------- =
2(x -2)(x+2)
2x +2 + 5x -10
= ------------------ =
2(x² -4)
7x -8
= --------
2(x² -4)
c)
5xy (x² -36)
------ * ---------- =
(x+6) x² -6x
Stosuje wzór skróconego mnożenia : a² - b² = (a-b)(a+b)
5xy*(x-6)(x+6)
= --------------- =
(x +6)*x(x -6)
5xy
= ------ = 5y
x
a) = (9a²c*14c³)/12bc²*21ab=(ac*c)/2b*b=ac²/2b²
b) = 2x+2/2(x-2)(x+2) + 5(x-2)/2(x+2)(x-2) =7x-8/2x²-8
c) = 5y ( rozkladasz lewa gore na (x-6)(x+6) w mianowniku wylaczasz x i sie wszystko pieknie skraca.