12.3: Importantes y útiles reglas/fórmulas

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30 oct 2022
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- 12.03: Importantes y útiles reglas
- 12.4: El método de 5 pasos para resolver problemas aplicados

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Exponentes (Supongamos que cada expresión está definida.)

$a^na^m = a^{n + m}$

$\dfrac{a^n}{a^m} = a^{n - m}$

$(a^n)^m = a^{nm}$

$(ab)^n = a^nb^n$

$a^{-1} = \dfrac{1}{n}$

$a^{-n} = \dfrac{1}{a^n}$

$a^0 = 1$

$(\dfrac{a}{b})^n = \dfrac{a^n}{b^n}$

Factorización y fórmulas de productos especiales

$ab + ac = a(b + c)$

$a^2 + 2a +b^2 = (a+b)^2$

$a^2 - b^2 = (a + b)(a - b)$

$a^2 - 2ab + b^2 = (a-b)^2$

Fórmulas

\ (\ begin {array} {lavado-izquierda}
x =\ dfrac {-b\ pm\ sqrt {b^2 - 4ac}} {2a} &\ text {Fórmula cuadrática}\\
y = mx + b &\ text {forma pendiente-interceptar una línea recta}\\
y - y_1 = m (x - x_1) &\ text {Forma punto-pendiente de una línea recta}\\
m =\ dfrac {y_ 2 - y_1} {x_2 - x_1} &\ text {Pendiente de una línea recta que pasa por los puntos} (x_1, x_2)\ text {y} (y_1, y_2)
\ end {array}\)

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Exponentes (Supongamos que cada expresión está definida.)

Factorización y fórmulas de productos especiales

Fórmulas

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