Luacháil
\frac{xy}{x^{2}-y^{2}}
Fairsingigh
\frac{xy}{x^{2}-y^{2}}
Tráth na gCeist
Algebra
5 fadhbanna cosúil le:
1 - \frac { x ^ { 2 } - x y - y ^ { 2 } } { x ^ { 2 } - y ^ { 2 } }
Roinn
Cóipeáladh go dtí an ghearrthaisce
1-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
Fachtóirigh 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)}
Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Méadaigh 1 faoi \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)}
Tá an t-ainmneoir céanna ag \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)} agus \frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}}{\left(x+y\right)\left(x-y\right)}
Déan iolrúcháin in \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)}
Cumaisc téarmaí comhchosúla in: x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}.
\frac{xy}{x^{2}-y^{2}}
Fairsingigh \left(x+y\right)\left(x-y\right)
1-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
Fachtóirigh 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)}
Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Méadaigh 1 faoi \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)}
Tá an t-ainmneoir céanna ag \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)} agus \frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}}{\left(x+y\right)\left(x-y\right)}
Déan iolrúcháin in \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)}
Cumaisc téarmaí comhchosúla in: x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}.
\frac{xy}{x^{2}-y^{2}}
Fairsingigh \left(x+y\right)\left(x-y\right)
Samplaí
Cothromóid chearnach
{ x } ^ { 2 } - 4 x - 5 = 0
Triantánacht
4 \sin \theta \cos \theta = 2 \sin \theta
Cothromóid líneach
y = 3x + 4
Uimhríocht
699 * 533
Maitrís
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Cothromóid chomhuaineach
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}