FRACCIONES ALGEBRAICAS
AYUDENME XFA
A)15a²bn-45a²bm/10a²b2n-30a²b²m
B)a²-4ab+4b²/a³-8b³
C)3x²+19x +20/6x²+17x+12
AYUDENME XFA
A)15a²bn-45a²bm/10a²b2n-30a²b²m
B)a²-4ab+4b²/a³-8b³
C)3x²+19x +20/6x²+17x+12
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a) Factorizamos, caso de factor común.
15a²bn - 45a²bm
---------------------------
10a²b - 30a²b²m
15a²b (n - 3m)
--------------------------------------
10a²b² (n - 3m)
Eliminamos los términos iguales.
15a²b:5
---------------------
10a²b:5
3a²b
-----------------------
2a²b
......................................................................................
b)
a² - 4ab + 4b²
-------------------------------
a³ - 8b³
(a - 2b)²
-------------------------------------
(a - 2b) (a² - 2ab + 4)
Eliminamos los términos semejantes.
1
------------------------------
(a² - 2ab + 4)
................................................................................
c)
3x² + 19x + 20
--------------------------------------
6x² + 17x + 12
(3x + 4)(x + 5)
--------------------------------------
(3x + 4) (2x - 3)
Eliminamos los términos semejantes.
(x + 5)
---------------------------
(2x - 3)