Whakaoti i te x+2y+4y^2/x-2y-4x^2y/x^2-4y^2

$$x + 2 y + \frac { 4 y ^ { 2 } } { x - 2 y } - \frac { 4 x ^ { 2 } y } { x ^ { 2 } - 4 y ^ { 2 } }$$

Aromātai

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

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia x+2y ki te \frac{x-2y}{x-2y}.

$$\frac{\left(x+2y\right)\left(x-2y\right)}{x-2y}+\frac{4y^{2}}{x-2y}-\frac{4x^{2}y}{x^{2}-4y^{2}}$$

Tā te mea he rite te tauraro o \frac{\left(x+2y\right)\left(x-2y\right)}{x-2y} me \frac{4y^{2}}{x-2y}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\left(x+2y\right)\left(x-2y\right)+4y^{2}}{x-2y}-\frac{4x^{2}y}{x^{2}-4y^{2}}$$

Mahia ngā whakarea i roto o \left(x+2y\right)\left(x-2y\right)+4y^{2}.

$$\frac{x^{2}-2xy+2yx-4y^{2}+4y^{2}}{x-2y}-\frac{4x^{2}y}{x^{2}-4y^{2}}$$

Whakakotahitia ngā kupu rite i x^{2}-2xy+2yx-4y^{2}+4y^{2}.

$$\frac{x^{2}}{x-2y}-\frac{4x^{2}y}{x^{2}-4y^{2}}$$

Tauwehea te x^{2}-4y^{2}.

$$\frac{x^{2}}{x-2y}-\frac{4x^{2}y}{\left(x-2y\right)\left(x+2y\right)}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x-2y me \left(x-2y\right)\left(x+2y\right) ko \left(x-2y\right)\left(x+2y\right). Whakareatia \frac{x^{2}}{x-2y} ki te \frac{x+2y}{x+2y}.

$$\frac{x^{2}\left(x+2y\right)}{\left(x-2y\right)\left(x+2y\right)}-\frac{4x^{2}y}{\left(x-2y\right)\left(x+2y\right)}$$

Tā te mea he rite te tauraro o \frac{x^{2}\left(x+2y\right)}{\left(x-2y\right)\left(x+2y\right)} me \frac{4x^{2}y}{\left(x-2y\right)\left(x+2y\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{x^{2}\left(x+2y\right)-4x^{2}y}{\left(x-2y\right)\left(x+2y\right)}$$

Mahia ngā whakarea i roto o x^{2}\left(x+2y\right)-4x^{2}y.

$$\frac{x^{3}+2x^{2}y-4x^{2}y}{\left(x-2y\right)\left(x+2y\right)}$$

Whakakotahitia ngā kupu rite i x^{3}+2x^{2}y-4x^{2}y.

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{x^{3}-2x^{2}y}{\left(x-2y\right)\left(x+2y\right)}.

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

Me whakakore tahi te x-2y i te taurunga me te tauraro.

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

Kimi Pārōnaki e ai ki x

$$\frac{x\left(x+4y\right)}{\left(x+2y\right)^{2}}$$