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Popular Álgebra >

desarrollar-(lk(lsin((2pix)/l)+2Cpi))/(4pi^2)

Solución

desarrollar

- \frac{l k ( l sin ( \frac{2 π x}{l} ) + 2 C π )}{4 π ^{2}}

Solución

- \frac{l ^{2} k sin ( \frac{2 π x}{l} )}{4 π ^{2}} - \frac{lC k}{2 π}

Pasos de solución

- \frac{l k ( l sin ( \frac{2 π x}{l} ) + 2 C π )}{4 π ^{2}}

Expandir

l k (l sin (\frac{2 π x}{l}) + 2 C π) : l^{2} k sin (\frac{2 π x}{l}) + 2 π lC k

= - \frac{l ^{2} k sin ( \frac{2 π x}{l} ) + 2 π lC k}{4 π ^{2}}

Aplicar las propiedades de las fracciones:

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

\frac{l ^{2} k sin ( \frac{2 π x}{l} ) + 2 π lC k}{4 π ^{2}} = - (\frac{l ^{2} k sin ( \frac{2 π x}{l} )}{4 π ^{2}}) - (\frac{2 π lC k}{4 π ^{2}})

= - (\frac{l ^{2} k sin ( \frac{2 π x}{l} )}{4 π ^{2}}) - (\frac{2 π lC k}{4 π ^{2}})

Quitar los parentesis:

(a) = a

= - \frac{l ^{2} k sin ( \frac{2 π x}{l} )}{4 π ^{2}} - \frac{2 π lC k}{4 π ^{2}}

Cancelar

\frac{2 π lC k}{4 π ^{2}} : \frac{lC k}{2 π}

= - \frac{l ^{2} k sin ( \frac{2 π x}{l} )}{4 π ^{2}} - \frac{lC k}{2 π}

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