Ovrednoti
\frac{4}{y}
Razširi
\frac{4}{y}
Delež
Kopirano v odložišče
\frac{\frac{x+4y}{x\left(x-4y\right)}-\frac{x-4y}{x\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Faktorizirajte x^{2}-4xy. Faktorizirajte x^{2}+4xy.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)}-\frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik x\left(x-4y\right) in x\left(x+4y\right) je x\left(x-4y\right)\left(x+4y\right). Pomnožite \frac{x+4y}{x\left(x-4y\right)} s/z \frac{x+4y}{x+4y}. Pomnožite \frac{x-4y}{x\left(x+4y\right)} s/z \frac{x-4y}{x-4y}.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Ker \frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)} in \frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.
\frac{\frac{x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Izvedi množenje v \left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right).
\frac{\frac{16xy}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Združite podobne člene v x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}.
\frac{\frac{16y}{\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Okrajšaj x v števcu in imenovalcu.
\frac{16y\left(x^{2}-16y^{2}\right)}{\left(x-4y\right)\left(x+4y\right)\times 4y^{2}}
Delite \frac{16y}{\left(x-4y\right)\left(x+4y\right)} s/z \frac{4y^{2}}{x^{2}-16y^{2}} tako, da pomnožite \frac{16y}{\left(x-4y\right)\left(x+4y\right)} z obratno vrednostjo \frac{4y^{2}}{x^{2}-16y^{2}}.
\frac{4\left(x^{2}-16y^{2}\right)}{y\left(x-4y\right)\left(x+4y\right)}
Okrajšaj 4y v števcu in imenovalcu.
\frac{4\left(x-4y\right)\left(x+4y\right)}{y\left(x-4y\right)\left(x+4y\right)}
Faktorizirajte izraze, ki še niso faktorizirani.
\frac{4}{y}
Okrajšaj \left(x-4y\right)\left(x+4y\right) v števcu in imenovalcu.
\frac{\frac{x+4y}{x\left(x-4y\right)}-\frac{x-4y}{x\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Faktorizirajte x^{2}-4xy. Faktorizirajte x^{2}+4xy.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)}-\frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik x\left(x-4y\right) in x\left(x+4y\right) je x\left(x-4y\right)\left(x+4y\right). Pomnožite \frac{x+4y}{x\left(x-4y\right)} s/z \frac{x+4y}{x+4y}. Pomnožite \frac{x-4y}{x\left(x+4y\right)} s/z \frac{x-4y}{x-4y}.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Ker \frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)} in \frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.
\frac{\frac{x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Izvedi množenje v \left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right).
\frac{\frac{16xy}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Združite podobne člene v x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}.
\frac{\frac{16y}{\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Okrajšaj x v števcu in imenovalcu.
\frac{16y\left(x^{2}-16y^{2}\right)}{\left(x-4y\right)\left(x+4y\right)\times 4y^{2}}
Delite \frac{16y}{\left(x-4y\right)\left(x+4y\right)} s/z \frac{4y^{2}}{x^{2}-16y^{2}} tako, da pomnožite \frac{16y}{\left(x-4y\right)\left(x+4y\right)} z obratno vrednostjo \frac{4y^{2}}{x^{2}-16y^{2}}.
\frac{4\left(x^{2}-16y^{2}\right)}{y\left(x-4y\right)\left(x+4y\right)}
Okrajšaj 4y v števcu in imenovalcu.
\frac{4\left(x-4y\right)\left(x+4y\right)}{y\left(x-4y\right)\left(x+4y\right)}
Faktorizirajte izraze, ki še niso faktorizirani.
\frac{4}{y}
Okrajšaj \left(x-4y\right)\left(x+4y\right) v števcu in imenovalcu.
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