Datrys frac{x^{2}}{x^{2}-y^2}-x/x+y+y/2x-2y-y^2/2x^2-2y^2

$$\frac { x ^ { 2 } } { x ^ { 2 } - y ^ { 2 } } - \frac { x } { x + y } + \frac { y } { 2 x - 2 y } - \frac { y ^ { 2 } } { 2 x ^ { 2 } - 2 y ^ { 2 } }$$

Enrhifo

$$\frac{3xy}{2\left(x^{2}-y^{2}\right)}$$

Camau Ateb Byr

Ffactora x^{2}-y^{2}.

$$\frac{x^{2}}{\left(x+y\right)\left(x-y\right)}-\frac{x}{x+y}+\frac{y}{2x-2y}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin \left(x+y\right)\left(x-y\right) a x+y yw \left(x+y\right)\left(x-y\right). Lluoswch \frac{x}{x+y} â \frac{x-y}{x-y}.

$$\frac{x^{2}}{\left(x+y\right)\left(x-y\right)}-\frac{x\left(x-y\right)}{\left(x+y\right)\left(x-y\right)}+\frac{y}{2x-2y}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

Gan fod gan \frac{x^{2}}{\left(x+y\right)\left(x-y\right)} a \frac{x\left(x-y\right)}{\left(x+y\right)\left(x-y\right)} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{x^{2}-x\left(x-y\right)}{\left(x+y\right)\left(x-y\right)}+\frac{y}{2x-2y}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

Gwnewch y gwaith lluosi yn x^{2}-x\left(x-y\right).

$$\frac{x^{2}-x^{2}+xy}{\left(x+y\right)\left(x-y\right)}+\frac{y}{2x-2y}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

Cyfuno termau tebyg yn x^{2}-x^{2}+xy.

$$\frac{xy}{\left(x+y\right)\left(x-y\right)}+\frac{y}{2x-2y}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

Ffactora 2x-2y.

$$\frac{xy}{\left(x+y\right)\left(x-y\right)}+\frac{y}{2\left(x-y\right)}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin \left(x+y\right)\left(x-y\right) a 2\left(x-y\right) yw 2\left(x+y\right)\left(x-y\right). Lluoswch \frac{xy}{\left(x+y\right)\left(x-y\right)} â \frac{2}{2}. Lluoswch \frac{y}{2\left(x-y\right)} â \frac{x+y}{x+y}.

$$\frac{2xy}{2\left(x+y\right)\left(x-y\right)}+\frac{y\left(x+y\right)}{2\left(x+y\right)\left(x-y\right)}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

Gan fod gan \frac{2xy}{2\left(x+y\right)\left(x-y\right)} a \frac{y\left(x+y\right)}{2\left(x+y\right)\left(x-y\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{2xy+y\left(x+y\right)}{2\left(x+y\right)\left(x-y\right)}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

Gwnewch y gwaith lluosi yn 2xy+y\left(x+y\right).

$$\frac{2xy+xy+y^{2}}{2\left(x+y\right)\left(x-y\right)}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

Cyfuno termau tebyg yn 2xy+xy+y^{2}.

$$\frac{y^{2}+3xy}{2\left(x+y\right)\left(x-y\right)}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

Ffactora 2x^{2}-2y^{2}.

$$\frac{y^{2}+3xy}{2\left(x+y\right)\left(x-y\right)}-\frac{y^{2}}{2\left(x+y\right)\left(x-y\right)}$$

Gan fod gan \frac{y^{2}+3xy}{2\left(x+y\right)\left(x-y\right)} a \frac{y^{2}}{2\left(x+y\right)\left(x-y\right)} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{y^{2}+3xy-y^{2}}{2\left(x+y\right)\left(x-y\right)}$$

Cyfuno termau tebyg yn y^{2}+3xy-y^{2}.

$$\frac{3xy}{2\left(x+y\right)\left(x-y\right)}$$

Ehangu 2\left(x+y\right)\left(x-y\right).

$$\frac{3xy}{2x^{2}-2y^{2}}$$

Ffactor

$$\frac{3xy}{2\left(x^{2}-y^{2}\right)}$$