Arvuta
\frac{xy}{x^{2}-y^{2}}
Laienda
\frac{xy}{x^{2}-y^{2}}
Jagama
Lõikelauale kopeeritud
1-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
Tegurda x^{2}-y^{2}.
\frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)}-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
Avaldiste liitmiseks või lahutamiseks laiendage need, et neil oleksid ühised nimetajad. Korrutage omavahel 1 ja \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)}.
\frac{\left(x+y\right)\left(x-y\right)-\left(x^{2}-xy-y^{2}\right)}{\left(x+y\right)\left(x-y\right)}
Kuna murdudel \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)} ja \frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)} on sama nimetaja, lahutage nende lugejad.
\frac{x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}}{\left(x+y\right)\left(x-y\right)}
Tehke korrutustehted võrrandis \left(x+y\right)\left(x-y\right)-\left(x^{2}-xy-y^{2}\right).
\frac{xy}{\left(x+y\right)\left(x-y\right)}
Kombineerige sarnased liikmed avaldises x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}.
\frac{xy}{x^{2}-y^{2}}
Laiendage \left(x+y\right)\left(x-y\right).
1-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
Tegurda x^{2}-y^{2}.
\frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)}-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
Avaldiste liitmiseks või lahutamiseks laiendage need, et neil oleksid ühised nimetajad. Korrutage omavahel 1 ja \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)}.
\frac{\left(x+y\right)\left(x-y\right)-\left(x^{2}-xy-y^{2}\right)}{\left(x+y\right)\left(x-y\right)}
Kuna murdudel \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)} ja \frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)} on sama nimetaja, lahutage nende lugejad.
\frac{x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}}{\left(x+y\right)\left(x-y\right)}
Tehke korrutustehted võrrandis \left(x+y\right)\left(x-y\right)-\left(x^{2}-xy-y^{2}\right).
\frac{xy}{\left(x+y\right)\left(x-y\right)}
Kombineerige sarnased liikmed avaldises x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}.
\frac{xy}{x^{2}-y^{2}}
Laiendage \left(x+y\right)\left(x-y\right).
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