Todas las fórmulas para el exámen accuplacer college level mathematics.
Operaciones algebraicas:
• Productos notables/ factorización
• Leyes de exponentes
Soluciones de ecuaciones y desigualdades:
• Ecuaciones
• Sistemas de ecuaciones
• Desigualdades
• Intervalos
Geometr...
Aplicaciones y otros temas:
Números complejos
Series y secuencias
Determinantes
Permutaciones y combinaciones
Factoriales
OPERACIONES ALGEBRAICAS
,Productos notables / factorización
Diferencia y suma de cuadrados
a2 – b2 = (a – b) (a + b)
a2 + b2 = (a + b)2 – 2ab
Diferencia y suma de cubos
a3 – b3 = (a – b) (a2 + ab + b2)
a3 + b3 = (a + b) (a2 – ab + b2)
Binomio al cuadrado
(a – b)2 = a2 – 2ab + b2
(a + b)2 = a2 + 2ab + b2
Binomio al cubo
(a – b)2 = a3 – 3a2b + 3ab2 – b3
= a3 – b3 – 3ab (a – b) Nota: el cubo de un binomio
(a + b)2 = a3 + 3a2b + 3ab2 + b3 SIEMPRE tiene 4 términos
= a3 + b3 + 3ab (a + b)
Trinomio al cuadrado y al cubo
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ac)
(a + b + c)3 = a3 + b3 + c3 + 3(a + b) (b + c) (a + c)
Aspa simple: se aplica a trinomios, obteniéndose 2 factores binomios.
x2 + 10x + 9 = (x + 9) (x + 1) 9x1=A
B A 9+1=B
Fórmula general
x = – b ± √ b2 – 4ac
2a
Leyes de exponentes
, an . am = an + m
an = an – m
am
(an)m = an . m
a– n = 1n
an
( a ) – n = ( b )n = b n
(b) (a) an
an . bn = (ab)n
(an)m ≠ an
m
a0 = 1 ; a ≠ 0
am/n = n √ am
n
√ a . n √ b = n √ ab
n
√ m √ p √ a = n.m.p √ a
n
√a=n a
√b √ b
nk
√ amk = n √ am
n
√xα . m√xβ . p√xμ = n . m . p √x(αm + β)p + μ
∃ = existe
∄ = no existe
∃! = existe un único valor
∀ = para todo
/ = tal que
SOLUCIONES DE ECUACIONES Y DESIGUALDADES
Ecuaciones
o Lineal → x1 → 1 solución
o Cuadrática → x2 → 2 solución
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