desarrollar ((1-a^2x)^2)/(b^3x)

Solución

desarrollar

\frac{( 1 - a ^{2} x ) ^{2}}{b ^{3} x}

\frac{1}{b ^{3} x} - \frac{2 a ^{2}}{b ^{3}} + \frac{a ^{4} x}{b ^{3}}

Pasos de solución

\frac{( 1 - a ^{2} x ) ^{2}}{b ^{3} x}

(1 - a^{2} x)^{2} = 1 - 2 a^{2} x + a^{4} x^{2}

= \frac{1 - 2 a ^{2} x + a ^{4} x ^{2}}{b ^{3} x}

Aplicar las propiedades de las fracciones:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{1 - 2 a ^{2} x + a ^{4} x ^{2}}{b ^{3} x} = \frac{1}{b ^{3} x} - \frac{2 a ^{2} x}{b ^{3} x} + \frac{a ^{4} x ^{2}}{b ^{3} x}

= \frac{1}{b ^{3} x} - \frac{2 a ^{2} x}{b ^{3} x} + \frac{a ^{4} x ^{2}}{b ^{3} x}

Cancelar

\frac{2 a ^{2} x}{b ^{3} x} : \frac{2 a ^{2}}{b ^{3}}

= \frac{1}{b ^{3} x} - \frac{2 a ^{2}}{b ^{3}} + \frac{a ^{4} x ^{2}}{b ^{3} x}

Cancelar

\frac{a ^{4} x ^{2}}{b ^{3} x} : \frac{a ^{4} x}{b ^{3}}

= \frac{1}{b ^{3} x} - \frac{2 a ^{2}}{b ^{3}} + \frac{a ^{4} x}{b ^{3}}

e x p an d (3 x y^{2} + 20 x^{2} y^{3}) d y

e x p an d \frac{x + 3}{x ( 3 - x )}

e x p an d \frac{3 ( 10 + 102 )}{14}

e x p an d (x^{42})^{2}

e x p an d 27 \cdot 21